Simplify each of the following, leaving your answer in positive indices. \({{\left( 27{{x}^{6}} \rig

Question

Simplify each of the following, leaving your answer in positive indices. ${{\left( 27{{x}^{6}} \right)}^{\frac{2}{3}}}$ ${{\left( -\frac{{{x}^{6}}}{27} \right)}^{-\frac{1}{3}}}$ ${{\left( {{a}^{3}}{{b}^{-9}} \right)}^{-\frac{1}{3}}}$ $\frac{{{c}^{-\frac{1}{3}}}{{d}^{-\frac{1}{4}}}}{{{\left( {{c}^{2}}{{d}^{3}} \right)}^{\frac{1}{3}}}}$

Accepted Answer

(i) $9x^4$. (ii) $-\frac3{x^2}$. (iii) $\frac{b^3}{a}$. (iv) $\frac1{cd^{5/4}}$.

Mastering Rational Exponents and Index Laws

Mastering Rational Exponents and Index Laws

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