topoit8d
2022-05-02
Answered

Rewrite the following exponential expressions as equivalent radical expressions. If the number is rational, write it without radicals or exponents.

$27}^{-\frac{2}{3}$

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Penelope Carson

Answered 2022-05-03
Author has **16** answers

Given: $27}^{-\frac{2}{3}$

Process $\frac{1}{{27}^{\frac{2}{3}}}$

$\frac{{\displaystyle 1}}{{\displaystyle \sqrt[3]{{27}^{2}}}}$

$27={3}^{3}$

$=\frac{1}{\sqrt[3]{{3}^{32}}}$

$=\frac{1}{\sqrt[3]{{3}^{6}}}$

$=\frac{1}{{3}^{\frac{6}{3}}}$

$=\frac{1}{9}$

dagars5nx

Answered 2022-05-04
Author has **12** answers

Step-by-step explanation:

Simplify:

$27}^{-\frac{2}{3}$

$={\frac{1}{27}}^{\frac{2}{3}}$

$=\frac{1}{{\left[{27}^{\frac{1}{3}}\right]}^{2}}$

$={\frac{1}{{[3\times 3\times 3]}^{\frac{1}{3}}}}^{2}$

$={\frac{1}{3}}^{2}$

$=\frac{1}{9}$

Simplify:

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