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Popular >

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

Solution

simplify

\frac{2 ^{- 1}}{2 ^{2}}

Solution

\frac{1}{8}

+1

Solution steps

\frac{2 ^{- 1}}{2 ^{2}}

Apply exponent rule:

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

= 2^{- 1 - 2}

Subtract the numbers:

- 1 - 2 = - 3

= 2^{- 3}

Apply exponent rule:

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

= \frac{1}{2 ^{3}}

2^{3} = 8

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

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