What is ((4xy)/(y^3))^{-3} ?

The solution to ((4xy)/(y^3))^{-3} is (y^6)/(64x^3)

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simplify ((4xy)/(y^3))^{-3}

simplify

(\frac{4 x y}{y ^{3}})^{- 3}

\frac{y ^{6}}{64 x ^{3}}

Solution steps

(\frac{4 x y}{y ^{3}})^{- 3}

Apply exponent rule:

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

(\frac{4 x y}{y ^{3}})^{- 3} = \frac{1}{( \frac{4 x y}{y ^{3}} ) ^{3}}

= \frac{1}{( \frac{4 x y}{y ^{3}} ) ^{3}}

Simplify

(\frac{4 x y}{y ^{3}})^{3} : \frac{64 x ^{3}}{y ^{6}}

= \frac{1}{\frac{64 x ^{3}}{y ^{6}}}

Apply the fraction rule:

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

= \frac{y ^{6}}{64 x ^{3}}

i^{- 75}

- 105 + 5

(2 - 6 i) - (- 11 - 10 i)

3 y (7 + x) - 2 (x + 7)

What is ((4xy)/(y^3))^{-3} ?
The solution to ((4xy)/(y^3))^{-3} is (y^6)/(64x^3)