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Popular >

simplify (a/b)^{-9}

Solution

simplify

(\frac{a}{b})^{- 9}

Solution

\frac{b ^{9}}{a ^{9}}

Solution steps

(\frac{a}{b})^{- 9}

Apply exponent rule:

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

(\frac{a}{b})^{- 9} = \frac{1}{( \frac{a}{b} ) ^{9}}

= \frac{1}{( \frac{a}{b} ) ^{9}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{a}{b})^{9} = \frac{a ^{9}}{b ^{9}}

= \frac{1}{\frac{a ^{9}}{b ^{9}}}

Apply the fraction rule:

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

= \frac{b ^{9}}{a ^{9}}

Popular Examples

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4 x^{2} - 24 x + 36

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simplify (2.25(11.97))/(0.0125(29*10^6))simplify

\frac{2.25 ( 11.97 )}{0.0125 ( 29 \cdot 1 0 ^{6} )}

Frequently Asked Questions (FAQ)

What is (a/b)^{-9} ?
The solution to (a/b)^{-9} is (b^9)/(a^9)