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Popular >

simplify (8*2^{-4})^{-1}

Solution

simplify

(8 \cdot 2^{- 4})^{- 1}

Solution

2

Solution steps

(8 \cdot 2^{- 4})^{- 1}

Apply exponent rule:

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

(8 \cdot 2^{- 4})^{- 1} = \frac{1}{8 \cdot 2 ^{- 4}}

= \frac{1}{8 \cdot 2 ^{- 4}}

Multiply

8 \cdot 2^{- 4} : \frac{1}{2}

= \frac{1}{\frac{1}{2}}

Apply the fraction rule:

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

= \frac{2}{1}

Apply rule

\frac{a}{1} = a

= 2

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Frequently Asked Questions (FAQ)

What is (8*2^{-4})^{-1} ?
The solution to (8*2^{-4})^{-1} is 2