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  <question type="description">
    <name>
      <text>1.2.1.4 BODMAS</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p wiid="N1150">Recall that when several operations are involved we can make use of the BODMAS rule for
deciding the order in which operations must be carried out. The BODMAS rule makes no mention of
exponentiation. Exponentiation should be carried out immediately after any brackets have been dealt
with and before multiplication and division. Consider the following examples.</p>

<hr wiid="C1151">
<h4 class="HELM_example" wiid="C1152">Example <br></h4>
<p wiid="C1153"> Evaluate \(7\times 3^2\).</p>
<h4 class="HELM_solution" wiid="C1154">Solution</h4>
<p wiid="C1155">There are two operations involved here, exponentiation and multiplication. The
exponentiation should be carried out before the multiplication. So \(7\times 3^2 = 7\times 9 = 63
\).</p>


<hr wiid="C1156">

<h4 class="HELM_example" wiid="C1157">Example <br></h4>
<p wiid="C1158">Write out fully </p>
<ol class="HELM_parts_inline" wiid="C1159">
<li wiid="C1160">\(3m^4\)</li>
<li wiid="C1161">\((3m)^4\)</li>
</ol>
<h4 class="HELM_solution" wiid="C1162">Solution</h4>
<ol class="HELM_parts" wiid="C1163">
  <li wiid="C1164"><p wiid="C1165">In the expression \(3m^4\) the exponentiation is carried
out before the multiplication by 3. So
 \(   3m^4\) means \(3\times(m\times m\times
m\times m)\)
that is \( 3\times m \times m \times m
\times m
\)</p></li>
  <li wiid="C1166"><p wiid="C1167">Here the bracketed expression is raised to the power 4 and so
should be multiplied by itself four times:
 \(   (3m)^4 = (3m)\times (3m)\times  (3m)\times (3m)
\)</p>
<p wiid="C1168">Because of the associativity of multiplication we can write
this as \(   3\times 3\times 3\times 3 \times m\times m \times m
\times m \) or simply \(81m^4\).</p>
<p wiid="C1169">Note the important distinction between \((3m)^4\) and \(3m^4\).</p></li>
</ol>
<hr wiid="C1170">]]></text>
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