9d9697a9-25d1-48bc-bd1c-1bcee793aabb.html

<p><em><strong>Students will complete the following questions to practice the skills they have learned in this lesson.</strong></em></p>
<ol class="os-raise-noindent">
  <li>
    Simplify \(\sqrt[4]{81}\).
  </li>
</ol>
<p><strong>Answer:</strong> 3</p>
<ol class="os-raise-noindent" start="2">
  <li>
    Simplify \(\sqrt[5]{-32}\).
  </li>
</ol>
<p><strong>Answer:</strong>&nbsp;&ndash;2</p>
<p>3. Which of the following is equivalent to \(\sqrt[4]{x^3}\)?</p>
<ul>
  <li>
    \(x^\frac34\)
  </li>
  <li>
    \(x^\frac43\)
  </li>
  <li>
    \(4x^3\)
  </li>
  <li>
    \(\frac34x\)
  </li>
</ul>
<p><strong>Answer:</strong> \(x^\frac34\)</p>
<p>4. Which of the following is equivalent to \(\sqrt[9]{2^4}\)?</p>
<ul>
  <li>
    \(2^\frac94\)
  </li>
  <li>
    \(\frac49(2)\)
  </li>
  <li>
    \(\frac{2^4}9\)
  </li>
  <li>
    \(2^\frac49\)
  </li>
</ul>
<p><strong>Answer:</strong> \(2^\frac49\)</p>
<p>5. Simplify \(k^3\;\cdot\;k^\frac13\).</p>
<ul>
  <li>\(k\)</li>
  <li>
    \(\frac13k^3\)
  </li>
  <li>
    \(3k^\frac13\)
  </li>
  <li>
    \(k^\frac{10}3\)
  </li>
</ul>
<p><strong>Answer:</strong> \(k^\frac{10}3\)</p>
<p>6. Simplify \({(m^\frac34)}^{-2}\).</p>
<ul>
  <li>
    \(m^\frac68\)
  </li>
  <li>
    \(\frac1{m^\frac32}\)
  </li>
  <li>
    \(m^\frac32\)
  </li>
  <li>
    \(-2m^\frac34\)
  </li>
</ul>
<p><strong>Answer:</strong> \(\frac1{m^\frac32}\)</p>
<p>7. True or false:</p>
<p>\(\sqrt[4]{-16}\;=\;-2\)</p>
<p><strong>Answer:</strong> False</p>
<p>8. True or false:</p>
<p>\(\sqrt[3]{-64}\;=\;-4\)</p>
<p><strong>Answer:</strong> True</p>
<p>9. Which of the following expressions are equivalent to perfect squares? <strong>Select the three</strong> that apply.</p>
<ul>
  <li>
    25
  </li>
  <li>
    \(\sqrt{16}\)
  </li>
  <li>
    \(3+3\)
  </li>
  <li>
    \(\sqrt[5]{9^5}\)
  </li>
  <li>
    \(3\;\cdot\;2\)
  </li>
</ul>
<p><strong>Answer:</strong> 25, \(\sqrt{16}\), \(\sqrt[5]{9^5}\)</p>
<p>10. Which of the following is equivalent to \({(x^\frac15)}^4\)?</p>
<ul>
  <li>
    \(x^4\)
  </li>
  <li>
    \(x^\frac45\)
  </li>
  <li>
    \(x^\frac4{20}\)
  </li>
  <li>
    \(x^{20}\)
  </li>
</ul>
<p><strong>Answer:</strong> \(x^\frac45\)</p>