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<!--Do not edit this div tag. It must surround the interaction block-->
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="b147f5d9-b0a7-41f6-a726-265ef2518f52" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<p>Complete the following questions to practice the skills you have learned in this lesson.</p>
<!--Q1-->
<div class="os-raise-ib-pset-problem" data-content-id="7b294637-4116-4521-8f36-19acc0b541f1" data-problem-comparator="integer" data-problem-type="input" data-solution="3">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" type="1">
<li>Simplify \(\sqrt[4]{81}\). </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.2.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 3.
</p>
</div>
</div>
<!--Q2-->
<div class="os-raise-ib-pset-problem" data-content-id="23470c41-fa61-4971-9d7c-0073637a54b2" data-problem-comparator="integer" data-problem-type="input" data-solution="-2">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="1">
<li>Simplify \(\sqrt[5]{-32}\). </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is –2. </p>
</div>
</div>
<!--Q3-->
<div class="os-raise-ib-pset-problem" data-content-id="b1faaa52-5909-4d5e-9eb8-b043c84f2ebf" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x^\frac34\)" data-solution-options='["\\(x^\\frac34\\)", "\\(x^\\frac43\\)", "\\(4x^3\\)", "\\(\\frac34x\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3" type="1">
<li>Which of the following is equivalent to \(\sqrt[4]{x^3}\)?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.3.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x^\frac34\).
</p>
</div>
</div>
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="2fc21da6-2cb8-4955-954d-e1426c564ce9" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(2^\frac49\)" data-solution-options='["\\(2^\\frac94\\)", "\\(\\frac49(2)\\)", "\\(\\frac{2^4}9\\)", "\\(2^\\frac49\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4" type="1">
<li>Which of the following is equivalent to \(\sqrt[9]{2^4}\)?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.3.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(2^\frac49\).
</p>
</div>
</div>
<!--q5-->
<div class="os-raise-ib-pset-problem" data-content-id="5c69ff8a-3b0c-4725-841a-c61596f545f4" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(k^\frac{10}3\)" data-solution-options='["\\(k\\)", "\\(\\frac13k^3\\)", "\\(3k^\\frac13\\)", "\\(k^\\frac{10}3\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5" type="1">
<li>Simplify \(k^3\;\cdot\;k^\frac13\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.4.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(k^\frac{10}3\). \(k^3\cdot k^\frac13=k^{3+\frac13}=k^{\frac93+\frac13}\).
</p>
</div>
</div>
<!--Q6-->
<div class="os-raise-ib-pset-problem" data-content-id="03d5de9f-8225-48e0-b91a-77c08243ae42" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(\frac1{m^\frac32}\)" data-solution-options='["\\(m^\\frac68\\)", "\\(\\frac1{m^\\frac32}\\)", "\\(m^\\frac32\\)", "\\(-2m^\\frac34\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6" type="1">
<li>Simplify \({(m^\frac34)}^{-2}\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.4.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(\frac1{m^\frac32}\). Multiply the exponents, and then get rid of the negative exponent.
</p>
</div>
</div>
<!--Q7-->
<div class="os-raise-ib-pset-problem" data-content-id="acb98e69-f260-41df-bcc3-6fb665287260" data-problem-type="dropdown" data-retry-limit="1" data-solution="False" data-solution-options='["True", "False"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7" type="1">
<li>True or false:
<p>\(\sqrt[4]{-16}\;=\;-2\)</p>
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.2.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is false. You cannot take the even root of a negative number and have a real answer. </p>
</div>
</div>
<!--Q8-->
<div class="os-raise-ib-pset-problem" data-content-id="a3499c56-1365-444b-9ce8-3f68f558ef7f" data-problem-type="dropdown" data-retry-limit="1" data-solution="True" data-solution-options='["True", "False"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8" type="1">
<li>True or false:
<p>\(\sqrt[3]{-64}\;=\;-4\)</p>
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is true. The cubed root of 64 is 4, and it is possible to have an odd root of a negative number.
</p>
</div>
</div>
<!--Q9-->
<div class="os-raise-ib-pset-problem" data-content-id="bacf4c60-a706-4321-b22d-e2c39bcc9825" data-problem-type="multiselect" data-solution='["25", "\\(\\sqrt{16}\\)", "\\(\\sqrt[5]{9^5}\\)"]' data-solution-options='["25", "\\(\\sqrt{16}\\)", "\\(3+3\\)", "\\(\\sqrt[5]{9^5}\\)", "\\(3\\;\\cdot\\;2\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9" type="1">
<li>Which of the following expressions are equivalent to perfect squares? <strong>Select the three</strong> that apply.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.1.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 25, \(\sqrt{16}\), \(\sqrt[5]{9^5}\).
</p>
</div>
</div>
<!--Q10-->
<div class="os-raise-ib-pset-problem" data-content-id="bb894585-82dd-45af-8a85-3fd285acc40a" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x^\frac45\)" data-solution-options='["\\(x^4\\)", "\\(x^\\frac45\\)", "\\(x^\\frac4{20}\\)", "\\(x^{20}\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10" type="1">
<li>Which of the following is equivalent to \({(x^\frac15)}^4\)?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.2.4.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x^\frac45\).
</p>
</div>
</div>
<!--Do not edit below this line-->
<div class="os-raise-ib-pset-correct-response">
</div>
<div class="os-raise-ib-pset-encourage-response">
</div>
</div>