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Popular >

simplify 5/2 (2)^{-2}

Solution

simplify

\frac{5}{2} (2)^{- 2}

Solution

\frac{5}{8}

+1

Solution steps

\frac{5}{2} \cdot 2^{- 2}

Apply exponent rule:

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

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

= \frac{5}{2} \cdot \frac{1}{2 ^{2}}

2^{2} = 4

= \frac{5}{2} \cdot \frac{1}{4}

\frac{5}{2} \cdot \frac{1}{4} = \frac{5}{8}

= \frac{5}{8}

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Frequently Asked Questions (FAQ)

What is 5/2 (2)^{-2} ?
The solution to 5/2 (2)^{-2} is 5/8