<p>Simplify each of the following, leaving your answer in positive indices.</p>
<ol class="i-list"><li><div class="list-item-paragraph">${{\left( 27{{x}^{6}} \right)}^{\frac{2}{3}}}$</div></li><li><div class="list-item-paragraph">${{\left( -\frac{{{x}^{6}}}{27} \right)}^{-\frac{1}{3}}}$</div></li><li><div class="list-item-paragraph">${{\left( {{a}^{3}}{{b}^{-9}} \right)}^{-\frac{1}{3}}}$</div></li><li><div class="list-item-paragraph">$\frac{{{c}^{-\frac{1}{3}}}{{d}^{-\frac{1}{4}}}}{{{\left( {{c}^{2}}{{d}^{3}} \right)}^{\frac{1}{3}}}}$</div></li></ol>

Simplify each of the following, leaving your answer in positive indices.

${{\left( 27{{x}^{6}} \right)}^{\frac{2}{3}}}$

${{\left( -\frac{{{x}^{6}}}{27} \right)}^{-\frac{1}{3}}}$

${{\left( {{a}^{3}}{{b}^{-9}} \right)}^{-\frac{1}{3}}}$

$\frac{{{c}^{-\frac{1}{3}}}{{d}^{-\frac{1}{4}}}}{{{\left( {{c}^{2}}{{d}^{3}} \right)}^{\frac{1}{3}}}}$

Mastering Rational Exponents and Index Laws

Mastering Rational Exponents and Index Laws

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