What is (2a^{-4}b^6)^{-5} ?

The solution to (2a^{-4}b^6)^{-5} is (a^{20})/(32b^{30)}

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simplify (2a^{-4}b^6)^{-5}

simplify

(2 a^{- 4} b^{6})^{- 5}

\frac{a ^{20}}{32 b ^{30}}

Solution steps

(2 a^{- 4} b^{6})^{- 5}

Apply exponent rule:

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

(2 a^{- 4} b^{6})^{- 5} = \frac{1}{( 2 a ^{- 4} b ^{6} ) ^{5}}

= \frac{1}{( 2 a ^{- 4} b ^{6} ) ^{5}}

Simplify

(2 a^{- 4} b^{6})^{5} : \frac{32 b ^{30}}{a ^{20}}

= \frac{1}{\frac{32 b ^{30}}{a ^{20}}}

Apply the fraction rule:

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

= \frac{a ^{20}}{32 b ^{30}}

(6 x^{4} \cdot y^{- 1})^{0}

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32 x^{4} - 162 y^{4}

16 b^{2} - 9 c^{2}

3 x^{7} + 3 x - 3 x

What is (2a^{-4}b^6)^{-5} ?
The solution to (2a^{-4}b^6)^{-5} is (a^{20})/(32b^{30)}