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Popular >

simplify ((x^2)/3)^{-3}

Solution

simplify

(\frac{x ^{2}}{3})^{- 3}

Solution

\frac{27}{x ^{6}}

Solution steps

(\frac{x ^{2}}{3})^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{x ^{2}}{3})^{- 3} = \frac{1}{( \frac{x ^{2}}{3} ) ^{3}}

= \frac{1}{( \frac{x ^{2}}{3} ) ^{3}}

Simplify

(\frac{x ^{2}}{3})^{3} : \frac{x ^{6}}{27}

= \frac{1}{\frac{x ^{6}}{27}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{27}{x ^{6}}

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Frequently Asked Questions (FAQ)

What is ((x^2)/3)^{-3} ?
The solution to ((x^2)/3)^{-3} is (27)/(x^6)