What is ((x^3)/(2y^6))^{-3} ?

The solution to ((x^3)/(2y^6))^{-3} is (8y^{18})/(x^9)

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simplify ((x^3)/(2y^6))^{-3}

simplify

(\frac{x ^{3}}{2 y ^{6}})^{- 3}

\frac{8 y ^{18}}{x ^{9}}

Solution steps

(\frac{x ^{3}}{2 y ^{6}})^{- 3}

Apply exponent rule:

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

(\frac{x ^{3}}{2 y ^{6}})^{- 3} = \frac{1}{( \frac{x ^{3}}{2 y ^{6}} ) ^{3}}

= \frac{1}{( \frac{x ^{3}}{2 y ^{6}} ) ^{3}}

Simplify

(\frac{x ^{3}}{2 y ^{6}})^{3} : \frac{x ^{9}}{8 y ^{18}}

= \frac{1}{\frac{x ^{9}}{8 y ^{18}}}

Apply the fraction rule:

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

= \frac{8 y ^{18}}{x ^{9}}

- 3 x + 4 = 22

\frac{n}{5} \leq 1.6

\frac{1}{6} + \frac{1}{2}

(\frac{a + b}{2})^{2}

\frac{2 3}{3}

What is ((x^3)/(2y^6))^{-3} ?
The solution to ((x^3)/(2y^6))^{-3} is (8y^{18})/(x^9)