What is (1/(2^{-3)}-1/(2^{-1)})^{-3} ?

The solution to (1/(2^{-3)}-1/(2^{-1)})^{-3} is 1/216

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simplify (1/(2^{-3)}-1/(2^{-1)})^{-3}

simplify

(\frac{1}{2 ^{- 3}} - \frac{1}{2 ^{- 1}})^{- 3}

\frac{1}{216}

Solution steps

(\frac{1}{2 ^{- 3}} - \frac{1}{2 ^{- 1}})^{- 3}

Apply exponent rule:

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

(\frac{1}{2 ^{- 3}} - \frac{1}{2 ^{- 1}})^{- 3} = \frac{1}{( \frac{1}{2 ^{- 3}} - \frac{1}{2 ^{- 1}} ) ^{3}}

= \frac{1}{( \frac{1}{2 ^{- 3}} - \frac{1}{2 ^{- 1}} ) ^{3}}

(\frac{1}{2 ^{- 3}} - \frac{1}{2 ^{- 1}})^{3} = 216

= \frac{1}{216}

(6^{- 1})^{4}

\frac{3}{2} - 6

9 m^{2} n^{2} + 42 mn + 49

(2 m - 1)^{4}

What is (1/(2^{-3)}-1/(2^{-1)})^{-3} ?
The solution to (1/(2^{-3)}-1/(2^{-1)})^{-3} is 1/216