What is expand (5x^4y^{-5})^{-3} ?

The solution to expand (5x^4y^{-5})^{-3} is (y^{15})/(125x^{12)}

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expand (5x^4y^{-5})^{-3}

expand

(5 x^{4} y^{- 5})^{- 3}

\frac{y ^{15}}{125 x ^{12}}

Solution steps

(5 x^{4} y^{- 5})^{- 3}

Apply exponent rule:

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

= \frac{1}{( 5 x ^{4} y ^{- 5} ) ^{3}}

(5 x^{4} y^{- 5})^{3} = \frac{5 ^{3} x ^{12}}{y ^{15}}

= \frac{1}{\frac{5 ^{3} x ^{12}}{y ^{15}}}

Apply the fraction rule:

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

= \frac{y ^{15}}{5 ^{3} x ^{12}}

5^{3} = 125

= \frac{y ^{15}}{125 x ^{12}}

6 (1.3)^{- 6}

310

5 [(6 c + 7)^{15} (d + 1)^{45}]^{3}

4.63 e^{- 0.12 x}

e^{- \frac{1}{2} l n (2 x)}

What is expand (5x^4y^{-5})^{-3} ?
The solution to expand (5x^4y^{-5})^{-3} is (y^{15})/(125x^{12)}