What is ((5a^{-7}b^2)/(ab^{-6)})^{-3} ?

The solution to ((5a^{-7}b^2)/(ab^{-6)})^{-3} is (a^{24})/(125b^{24)}

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simplify ((5a^{-7}b^2)/(ab^{-6)})^{-3}

simplify

(\frac{5 a ^{- 7} b ^{2}}{a b ^{- 6}})^{- 3}

\frac{a ^{24}}{125 b ^{24}}

Solution steps

(\frac{5 a ^{- 7} b ^{2}}{a b ^{- 6}})^{- 3}

Apply exponent rule:

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

(\frac{5 a ^{- 7} b ^{2}}{a b ^{- 6}})^{- 3} = \frac{1}{( \frac{5 a ^{- 7} b ^{2}}{a b ^{- 6}} ) ^{3}}

= \frac{1}{( \frac{5 a ^{- 7} b ^{2}}{a b ^{- 6}} ) ^{3}}

Simplify

(\frac{5 a ^{- 7} b ^{2}}{a b ^{- 6}})^{3} : \frac{125 b ^{24}}{a ^{24}}

= \frac{1}{\frac{125 b ^{24}}{a ^{24}}}

Apply the fraction rule:

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

= \frac{a ^{24}}{125 b ^{24}}

- 3 (y + 3) = 2 y + 3

\frac{m}{3} - 2 = 2

(- 8)^{- 3}

\frac{x}{3} + \frac{1}{2} = \frac{7}{6}

2 - 147

What is ((5a^{-7}b^2)/(ab^{-6)})^{-3} ?
The solution to ((5a^{-7}b^2)/(ab^{-6)})^{-3} is (a^{24})/(125b^{24)}