12c19db1-7559-4da3-9a54-2ded56774e19.html

<h4>Cool Down Activity</h4>
<p>The activities you learned in a prior lesson taught you the properties of exponents. These same properties work with rational exponents.</p>
<p>Simplify each expression, and then check your answers. Double click on mathematical expressions/equations to enlarge.</p>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <ol class="os-raise-noindent">
      <li> \({(x^2)}^\frac13\) </li>
    </ol>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>Write down your answer, then select the <strong>solution</strong> button to compare your work. </p>
  </div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
  <p>Compare your answer:</p>
  <p>\(x^\frac23\)</p>
</div>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal2" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <ol class="os-raise-noindent" start="2">
      <li> \(x^\frac23\;\cdot\;x^\frac23\) </li>
    </ol>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>Write down your answer, then select the <strong>solution</strong> button to compare your work. </p>
  </div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal2">
  <p>Compare your answer:</p>
  <p>\(x^\frac43\)</p>
</div>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal3" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <ol class="os-raise-noindent" start="3">
      <li> \({(x^{-3})}^\frac25\) </li>
    </ol>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>Write down your answer, then select the <strong>solution</strong> button to compare your work. </p>
  </div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal3">
  <p>Compare your answer:</p>
  <p>\(x^{-\frac65}\;=\;\frac1{x^{\frac65}}\)</p>
</div>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal4" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <ol class="os-raise-noindent" start="4">
      <li> \({(x^\frac13)}^{-1}\) </li>
    </ol>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>Write down your answer, then select the <strong>solution</strong> button to compare your work. </p>
  </div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal4">
  <p>Compare your answer:</p>
  <p>\(x^{-\frac13}\;=\;\frac1{x^{\frac13}}\)</p>
</div>