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Popular >

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

Solution

simplify

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

Solution

\frac{y ^{3}}{27 x ^{3}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{3 x}{y})^{3} : \frac{27 x ^{3}}{y ^{3}}

= \frac{1}{\frac{27 x ^{3}}{y ^{3}}}

Apply the fraction rule:

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

= \frac{y ^{3}}{27 x ^{3}}

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Frequently Asked Questions (FAQ)

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