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

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

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

simplify

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

x^{20} y^{15}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{x ^{- 4}}{y ^{3}})^{5} : \frac{1}{x ^{20} y ^{15}}

= \frac{1}{\frac{1}{x ^{20} y ^{15}}}

Simplify

\frac{1}{\frac{1}{x ^{20} y ^{15}}} : x^{20} y^{15}

= x^{20} y^{15}

(a + b) (\frac{1 - b}{a + b})

(5 - 4 y)^{2}

(1 - n)^{- 1}

(x - a)^{7} + (a - b)^{7}

x^{4} - 7 x^{2} y^{2} + y^{4}

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