What is expand (w^{-4})/(z^{-9)} ?

The solution to expand (w^{-4})/(z^{-9)} is (z^9)/(w^4)

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expand (w^{-4})/(z^{-9)}

expand

\frac{w ^{- 4}}{z ^{- 9}}

\frac{z ^{9}}{w ^{4}}

Solution steps

\frac{w ^{- 4}}{z ^{- 9}}

Apply exponent rule:

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

z^{- 9} = \frac{1}{z ^{9}}

= \frac{w ^{- 4}}{\frac{1}{z ^{9}}}

Apply exponent rule:

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

w^{- 4} = \frac{1}{w ^{4}}

= \frac{\frac{1}{w ^{4}}}{\frac{1}{z ^{9}}}

Divide fractions:

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

= \frac{1 \cdot z ^{9}}{w ^{4} \cdot 1}

Refine

= \frac{z ^{9}}{w ^{4}}

\frac{( 2 x - 1 ) ( 3 x + 5 )}{2}

\frac{( 1 + i ) ^{5}}{( 2 + 3 i ) ^{5}}

\frac{d}{d y} ((x) (1 - x e^{- x}))

(x, y) \Rightarrow (x - 5, y - 3)

arcsin (- 8 (x + c))

What is expand (w^{-4})/(z^{-9)} ?
The solution to expand (w^{-4})/(z^{-9)} is (z^9)/(w^4)