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

The solution to (((d*y^{-3}))/((d^5*y)))^{-4} is d^{16}y^{16}

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

simplify

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

d^{16} y^{16}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{d y ^{- 3}}{d ^{5} y})^{4} : \frac{1}{d ^{16} y ^{16}}

= \frac{1}{\frac{1}{d ^{16} y ^{16}}}

Simplify

\frac{1}{\frac{1}{d ^{16} y ^{16}}} : d^{16} y^{16}

= d^{16} y^{16}

(3 x^{- 3} \cdot y^{2} \cdot z^{- 1})^{3}

\frac{8 ^{3^{4 n}} + 3}{11}

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49 x^{2} - 25 y^{2} + 10 y - 1

(3 + p)^{3}

What is (((d*y^{-3}))/((d^5*y)))^{-4} ?
The solution to (((d*y^{-3}))/((d^5*y)))^{-4} is d^{16}y^{16}