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  <question type="stack">
    <name>
      <text>1.2.2.4  Remove brackets</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p class="HELM_exercise">Exercise <br></p>

<p>Remove the brackets from the following expressions, leaving your answer in the simplest form:</p>

<ol class="HELM_parts">
<li><p>\(({@a1@}a)^2=\) [[input:ans1]] [[validation:ans1]] [[feedback:prt1]]</p></li>

<li><p>\(({@b1@}ab)^3=\) [[input:ans2]] [[validation:ans2]] [[feedback:prt2]]</p></li>

<li><p>\({@c1@}(ab)^3=\) [[input:ans3]] [[validation:ans3]] [[feedback:prt3]]</p></li>

<li><p>\(({@d1@}xy)^4=\) [[input:ans4]] [[validation:ans4]] [[feedback:prt4]]</p></li>
</ol>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<ol class="HELM_parts">
    <li>
      <p>Removing the brackets we obtain:</p>
      <p>\( ({@a1@}a)^2 = {@a1@}^2 \cdot a^2 = {@ta1@}. \)</p>
    </li>
    <li>
      <p>Removing the brackets we obtain:</p>
      <p>\( ({@b1@}ab)^3 = {@b1@}^3 \cdot a^3 \cdot b^3 = {@ta2@}. \)</p>
    </li>
    <li>
        <p>This time, \({@c1@}\) is not in the brackets, so using the third law of indices we obtain:</p>
        <p>\( {@c1@}(ab)^3 = {@ta3@}. \)</p>
    </li>
    <li>
      <p>Again, removing the bracket gives: </p>
      <p>\( ({@d1@}xy)^4 = {@d1@}^4 \cdot x^4 \cdot y^4 = {@ta4@}.\)</p>
    </li>
</ol>]]></text>
    </generalfeedback>
    <defaultgrade>1</defaultgrade>
    <penalty>0.1</penalty>
    <hidden>0</hidden>
    <idnumber/>
    <stackversion>
      <text>2021072200</text>
    </stackversion>
    <questionvariables>
      <text>a1: rand([7,8,9,10]);
ta1: ev(a1^2*a^2, simp:true);

b1: ev(a1-1, simp:true);
ta2: ev((b1*a*b)^3, simp:true);

c1: b1;
ta3: ev(c1*(a*b)^3, simp:true);

d1: rand([5,6,7,8]);
ta4: ev((d1*x*y)^4, simp:true);</text>
    </questionvariables>
    <specificfeedback format="html">
      <text/>
    </specificfeedback>
    <questionnote format="moodle_auto_format">
      <text>\[ ({@a1@}a)^2={@ta1@}, \quad ({@b1@}ab)^3={@ta2@} \]
\[{@c1@}(ab)^3= {@ta3@}, \quad ({@d1@}xy)^4={@ta4@}\]</text>
    </questionnote>
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      <text/>
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    <prtcorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:green;"><i class="fa fa-check"></i></span> Correct answer, well done.]]></text>
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      <text><![CDATA[<span style="font-size: 1.5em; color:orange;"><i class="fa fa-adjust"></i></span> Your answer is partially correct.]]></text>
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      <text><![CDATA[<span style="font-size: 1.5em; color:red;"><i class="fa fa-times"></i></span> Incorrect answer.]]></text>
    </prtincorrect>
    <decimals>.</decimals>
    <scientificnotation>*10</scientificnotation>
    <multiplicationsign>dot</multiplicationsign>
    <sqrtsign>1</sqrtsign>
    <complexno>i</complexno>
    <inversetrig>cos-1</inversetrig>
    <logicsymbol>lang</logicsymbol>
    <matrixparens>[</matrixparens>
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      <testinput>
        <name>ans2</name>
        <value>b1^3*a^3*b^3</value>
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        <value>d1^4*x^4*y^4</value>
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