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Subject: Exponents (multiple choice questions)
Date: Tue, 28 Dec 2004 19:09:00 -0500
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=EF=BB=BF<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD><TITLE>Exponents (multiple choice questions)</TITLE>
<META http-equiv=3DContent-Type content=3D"text/html; charset=3Dutf-8">
<META content=3D"Klaus Oetjen" name=3DAuthor>
<META content=3D"MSHTML 6.00.2900.2523" name=3DGENERATOR>
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<BODY text=3D#000000 vLink=3D#800080 aLink=3D#ff0000 link=3D#0000ff =
bgColor=3Dwhite>
<TABLE width=3D"90%" align=3Dcenter bgColor=3D#ffff00>
  <TBODY>
  <TR>
    <TD><B>Multiple Choice Test</B><BR>Indicate the correct answer by =
clicking=20
      on the button next to the numbers 1, 2, 3 or 4. There is only one =
correct=20
      answer per question. After you have answered <B><U>all</U></B> =
multiple=20
      choice questions compare your choices with the correct answers.=20
  </TD></TR></TBODY></TABLE>
<HR width=3D"90%" color=3Dred SIZE=3D3>

<CENTER>
<H2>Exponents</H2></CENTER>
<BLOCKQUOTE>Click on the button next to the term you think is the =
correct=20
  answer.=20
  <HR width=3D"100%" color=3Dred SIZE=3D3>
  <BR>
  <FORM name=3DF><!frage1><B>1.)&nbsp;</B> Given that (1/x)<SUP>2</SUP> =
=3D 0.04,=20
  find the value of x.=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ1></TD>
        <TD width=3D"90%">1/5</TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ1></TD>
        <TD width=3D"90%">1/2</TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ1></TD>
        <TD width=3D"90%">5</TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ1></TD>
        <TD width=3D"90%">10</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("(1/5)<sup>2</sup> =3D 1/25 =3D 0.04")' =
type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage2><B>2.)</B> &nbsp;Given that 3<SUP>x - 1</SUP> =3D =
243, find the=20
  value of x.=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ2></TD>
        <TD width=3D"90%">4</TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ2></TD>
        <TD width=3D"90%">5</TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ2></TD>
        <TD width=3D"90%">6</TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ2></TD>
        <TD width=3D"90%">82</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("3<sup>(6 - 1)</sup> =3D 3<sup>5</sup> =3D 243")' =
type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage10><B>3.)</B>&nbsp;If x + 121,121 =3D 121,121,121, then =
x =3D=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ3></TD>
        <TD width=3D"90%">1.21 =C3=97 10<SUP>9</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ3></TD>
        <TD width=3D"90%">1.21 =C3=97 10<SUP>8</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ3></TD>
        <TD width=3D"90%">1.21 =C3=97 10<SUP>7</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ3></TD>
        <TD width=3D"90%">1.21 =C3=97 =
10<SUP>6</SUP></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("121.000.000 + 121.121 =3D 121.121.121<br>=3D =
1,21 <small>x</small> 10<sup>8</sup> + 121.121<br> hence the answer is =
B.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage4><BR>
  <TABLE cellSpacing=3D0 cellPadding=3D0 border=3D0>
    <TBODY>
    <TR>
      <TD>4.)&nbsp;Evaluate&nbsp;</TD>
      <TD>&nbsp;&nbsp;<IMG height=3D63 alt=3Dmmcexpo1.gif=20
        src=3D"http://www.sec.org.za/maths/mmcexpo1.gif" width=3D98 =
border=3D0></TD>
      <TD>&nbsp;&nbsp;, writing your answer in standard=20
  form.</TD></TR></TBODY></TABLE>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ4></TD>
        <TD width=3D"90%">2,5 <SMALL>x</SMALL> 10<SUP>-1</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ4></TD>
        <TD width=3D"90%">2,5 <SMALL>x</SMALL> 10<SUP>-7</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ4></TD>
        <TD width=3D"90%">2,5 <SMALL>x</SMALL> 10<SUP>-9</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ4></TD>
        <TD width=3D"90%">2,5 <SMALL>x</SMALL>=20
    10<SUP>-11</SUP></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("<img src=3Dmmcexpo1.jpg width=3D117 height=3D53 =
alt=3D border=3D> <br> =3D 250 <small>x</small> 10<sup>-6</sup> =
<small>x</small> 10<sup>-3</sup> <br>=3D 250 <small>x</small> 10<sup>-6 =
- 3</sup> <br> =3D 250 <small>x</small> 10<sup>-9</sup> <br> =3D 2,5 =
<small>x</small> 10<sup>-7</sup>")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage5><B>5.)</B>&nbsp;The value of 4<SUP>3</SUP> =
<SMALL>x</SMALL>=20
  16<SUP>3</SUP> is:=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ5></TD>
        <TD width=3D"90%">64<SUP>6</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ5></TD>
        <TD width=3D"90%">8<SUP>6</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ5></TD>
        <TD width=3D"90%">4<SUP>8</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ5></TD>
        <TD width=3D"90%">2<SUP>13</SUP></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("4<sup>3</sup> <small>x</small> 16<sup>3</sup> =
=3D <br>4<sup>3</sup> <small>x</small> (4<sup>2</sup>)<sup>3</sup> =3D =
<br> 4<sup>3 + 2 =C2=B7 3</sup> =3D <br> 4<sup>3 + 6</sup> =3D =
4<sup>9</sup> <br> 4<sup>9</sup> =3D 8<sup>6</sup> <br>Thanks to Suparna =
Roy I can now supply the last part of the explanation:<br>4<sup>9</sup> =
=3D (2<sup>2</sup>)<sup>9</sup> =3D 2<sup>18</sup> =3D =
(2<sup>3</sup>)<sup>6</sup> =3D 8<sup>6</sup>")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage6><B>6.)</B>&nbsp;Simplify&nbsp;&nbsp;<IMG height=3D25 =
alt=3D""=20
  src=3D"http://www.sec.org.za/maths/mmcexpo2.gif" width=3D150 =
border=3D0>:=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ6></TD>
        <TD width=3D"90%">p<SUP>-36</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ6></TD>
        <TD width=3D"90%">p<SUP>-12</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ6></TD>
        <TD width=3D"90%">0</TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ6></TD>
        <TD width=3D"90%">1</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("<img src=3Dmmcexpo2.gif width=3D150 height=3D25 =
alt=3D > rewritten is <br>=3D (p<sup>-7</sup>/p<sup>-3</sup> =
<small>x</small> p<sup>4</sup>)<sup>2</sup><br>=3D (p<sup>-7 + 3</sup> =
<small>x</small> p<sup>4</sup>)<sup>2</sup><br>=3D (p<sup>-4</sup> =
<small>x</small> p<sup>4</sup> <br>=3D p<sup>-4 + 4</sup> <br> =3D =
p<sup>0</sup> =3D 1")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage7>
  <TABLE cellSpacing=3D0 cellPadding=3D0 border=3D0>
    <TBODY>
    <TR>
      <TD><B>7.)</B>&nbsp;Simplify&nbsp; </TD>
      <TD>&nbsp;&nbsp;&nbsp;<IMG height=3D63 alt=3Dmmcexpo3.gif=20
        src=3D"http://www.sec.org.za/maths/mmcexpo3.gif" width=3D99 =
border=3D0>=20
    </TD></TR></TBODY></TABLE>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ7></TD>
        <TD width=3D"90%">p<SUP>-6</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ7></TD>
        <TD width=3D"90%">p<SUP>11</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ7></TD>
        <TD width=3D"90%">p<SUP>22</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ7></TD>
        <TD =
width=3D"90%">p<SUP>121</SUP></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("<img src=3Dmmcexpo3.gif width=3D140 height=3D49 =
alt=3D border=3D0> <br>=3D (p<sup>-3</sup> =
<small><small>x</small></small> p<sup>7</sup>)<sup>2</sup> &nbsp;<img =
src=3Dmmcdiv.gif width=3D20 height=3D15 alt=3D border=3D > =
(p<sup>-10</sup> <small><small>x</small></small> =
p<sup>3</sup>)<sup>2</sup><br>=3D (p<sup>4</sup>)<sup>2</sup> &nbsp;<img =
src=3Dmmcdiv.gif width=3D20 height=3D15 alt=3D border=3D > =
(p<sup>-7</sup>)<sup>2</sup><br>=3D p<sup>8</sup> &nbsp;<img =
src=3Dmmcdiv.gif width=3D20 height=3D15 alt=3D border=3D > =
p<sup>-14</sup><br>=3D p<sup>8 + 14</sup> =3D p<sup>22</sup>")' =
type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage8><B>8.)</B>&nbsp;(7m<SUP>2</SUP>n<SUP>2</SUP>) =C2=B7=20
  (4m<SUP>3</SUP>n<SUP>2</SUP>) =3D=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ8></TD>
        <TD width=3D"90%">11m<SUP>5</SUP>n<SUP>4</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ8></TD>
        <TD width=3D"90%">28m<SUP>5</SUP>n<SUP>4</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ8></TD>
        <TD width=3D"90%">28m<SUP>6</SUP>n<SUP>4</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ8></TD>
        <TD =
width=3D"90%">28m<SUP>23</SUP>n<SUP>22</SUP></TD></TR></TBODY></TABLE><IN=
PUT onclick=3D'gibfeedback("(7m<sup>2</sup>n<sup>2</sup>) =C2=B7 =
(4m<sup>3</sup>n<sup>2</sup>) <br>=3D (4 <small>x</small> =
7)=C2=B7(m<sup>2 + 3</sup>)=C2=B7(n<sup>2 + 2</sup>)<br>=3D =
28m<sup>5</sup>n<sup>4</sup>")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage9><B>9.)</B>&nbsp;(9ax<SUP>2</SUP>) =C2=B7 =
(8xy<SUP>2</SUP>) =3D=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ9></TD>
        <TD width=3D"90%">36axy<SUP>3</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ9></TD>
        <TD width=3D"90%">72ax<SUP>2</SUP>y<SUP>2</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ9></TD>
        <TD width=3D"90%">72ax<SUP>3</SUP>y<SUP>2</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ9></TD>
        <TD =
width=3D"90%">98ax<SUP>2</SUP>y<SUP>2</SUP></TD></TR></TBODY></TABLE><INP=
UT =
onclick=3D'gibfeedback("(9ax<sup>2</sup>)=C2=B7(8xy<sup>2</sup>)<br>=3D =
(9 <small>x</small> 8)=C2=B7(ay<sup>2</sup>x<sup>2 + 1</sup>),br> =3D =
72ax<sup>3</sup>y<sup>2</sup>")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage10>
  <TABLE width=3D"90%" align=3Dcenter>
    <TBODY>
    <TR>
      <TD vAlign=3Dtop width=3D"8%"><B>10.)</B></TD>
      <TD vAlign=3Dtop align=3Dleft width=3D"92%"><IMG height=3D39 =
alt=3D""=20
        src=3D"http://www.sec.org.za/maths/mmcexpo4.gif" width=3D52=20
    border=3D0></TD></TR></TBODY></TABLE>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>1</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ10></TD>
        <TD width=3D"90%">a<SUP>50</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>2</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ10></TD>
        <TD width=3D"90%">a<SUP>45</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>3</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ10></TD>
        <TD width=3D"90%">a<SUP>15</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>4</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ10></TD>
        <TD width=3D"90%">a<SUP>10</SUP></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("<img src=3Dmmcexpo4ans.gif width=3D165 =
height=3D39 alt=3D border=3D0>")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL></BLOCKQUOTE>
<HR color=3D#ff0033 SIZE=3D3>

<CENTER>
<TABLE cellSpacing=3D0 cols=3D1 width=3D"60%" border=3D1>
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    <TD>
      <CENTER><INPUT type=3Dhidden value=3Dfalse =
name=3Dbearbeitet><INPUT onclick=3Dshow() type=3Dbutton value=3D"See =
your results" name=3DButton></CENTER></TD></TR>
  <TR>
    <TD>
      <CENTER><TEXTAREA name=3Dergebnis rows=3D3 readOnly =
cols=3D50></TEXTAREA></CENTER></TD></TR>
  <TR>
    <TD>
      <CENTER><INPUT onclick=3Dshowcorrect() type=3Dbutton value=3D"What =
are the correct answers?" =
name=3DButton></CENTER></TD></TR></TBODY></TABLE></CENTER></FORM>
<TABLE cellPadding=3D5 width=3D"75%" align=3Dcenter border=3D1>
  <TBODY>
  <TR>
    <TD><FONT color=3D#9933ff>Hint: You can do the test offline as well. =
Just=20
      click "file" from the menu, then "save" to a destination of your =
choice.=20
      But remember to open file either with windows explorer or internet =

      explorer. Netscape might not be able to reload pictures offline.=20
  </FONT></TD></TR></TBODY></TABLE>
<BLOCKQUOTE><BR>Did you encounter any difficulties? <BR>If so, click on =
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  href=3D"http://www.sec.org.za/maths/mexporevi.html"><IMG height=3D20 =
alt=3D""=20
  src=3D"http://www.sec.org.za/riddles/XDOT02.GIF" width=3D20 =
border=3D0></A> revision=20
  button and go through some brief summary on exponents. <!input =
type=3D"button" =
value=3D""onClick=3D"window.location.href=3D'mexporevi.html'"></BLOCKQUOT=
E>
<TABLE cellSpacing=3D0 cellPadding=3D4 width=3D"97%" align=3Dcenter =
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href=3D"http://www.sec.org.za/trmc.html"><SMALL><B>click=20
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