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Popular >

simplify ((-a)/b)^{-4}

Solution

simplify

(\frac{- a}{b})^{- 4}

Solution

\frac{b ^{4}}{a ^{4}}

Solution steps

(\frac{- a}{b})^{- 4}

Apply exponent rule:

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

(\frac{- a}{b})^{- 4} = \frac{1}{( \frac{- a}{b} ) ^{4}}

= \frac{1}{( \frac{- a}{b} ) ^{4}}

Simplify

(\frac{- a}{b})^{4} : \frac{a ^{4}}{b ^{4}}

= \frac{1}{\frac{a ^{4}}{b ^{4}}}

Apply the fraction rule:

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

= \frac{b ^{4}}{a ^{4}}

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Frequently Asked Questions (FAQ)

What is ((-a)/b)^{-4} ?
The solution to ((-a)/b)^{-4} is (b^4)/(a^4)