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Popular >

simplify (1/(2r^6))^{-6}

Solution

simplify

(\frac{1}{2 r ^{6}})^{- 6}

Solution

64 r^{36}

Solution steps

(\frac{1}{2 r ^{6}})^{- 6}

Apply exponent rule:

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

(\frac{1}{2 r ^{6}})^{- 6} = \frac{1}{( \frac{1}{2 r ^{6}} ) ^{6}}

= \frac{1}{( \frac{1}{2 r ^{6}} ) ^{6}}

Simplify

(\frac{1}{2 r ^{6}})^{6} : \frac{1}{64 r ^{36}}

= \frac{1}{\frac{1}{64 r ^{36}}}

Simplify

\frac{1}{\frac{1}{64 r ^{36}}} : 64 r^{36}

= 64 r^{36}

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Frequently Asked Questions (FAQ)

What is (1/(2r^6))^{-6} ?
The solution to (1/(2r^6))^{-6} is 64r^{36}