What is simplify-8(x^{-3}y^4)^{-5} ?

The solution to simplify-8(x^{-3}y^4)^{-5} is -(8x^{15})/(y^{20)}

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simplify-8(x^{-3}y^4)^{-5}

simplify

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

- \frac{8 x ^{15}}{y ^{20}}

Solution steps

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

Apply exponent rule:

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

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

= - 8 \cdot \frac{1}{( x ^{- 3} y ^{4} ) ^{5}}

Simplify

(x^{- 3} y^{4})^{5} : \frac{y ^{20}}{x ^{15}}

= - 8 \cdot \frac{1}{\frac{y ^{20}}{x ^{15}}}

Apply the fraction rule:

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

= - 8 \cdot \frac{x ^{15}}{y ^{20}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{8 x ^{15}}{y ^{20}}

748

(9 x^{\frac{1}{2}})^{2}

3 x^{2} + 17 x + 20

3 x^{2} - 6 x - 4 x + 8

3 x = x^{2}

What is simplify-8(x^{-3}y^4)^{-5} ?
The solution to simplify-8(x^{-3}y^4)^{-5} is -(8x^{15})/(y^{20)}