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Popular >

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

Solution

simplify

2^{2 - l o g_{2} (5)}

Solution

\frac{4}{5}

+1

Decimal Notation

0.8

Solution steps

2^{2 - l o g_{2} (5)}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= 2^{- l o g_{2} (5)} \cdot 2^{2}

Simplify

2^{- l o g_{2} (5)} : 5^{- 1}

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

Simplify

= \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is 2^{2-log_{2}(5)} ?
The solution to 2^{2-log_{2}(5)} is 4/5