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Popular >

simplify 4*2^{-2}

Solution

simplify

4 \cdot 2^{- 2}

Solution

1

Solution steps

4 \cdot 2^{- 2}

Apply exponent rule:

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

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

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

2^{2} = 4

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

Convert element to fraction:

4 = \frac{4}{1}

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

Cross-cancel common factor:

4

= 1

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Frequently Asked Questions (FAQ)

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