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Popular >

simplify 4(0.5)^{-2}

Solution

simplify

4 (0.5)^{- 2}

Solution

16

Solution steps

4 \cdot 0. 5^{- 2}

Apply exponent rule:

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

0. 5^{- 2} = \frac{1}{0. 5 ^{2}}

= 4 \cdot \frac{1}{0. 5 ^{2}}

0. 5^{2} = 0.25

= 4 \cdot \frac{1}{0.25}

Divide the numbers:

\frac{1}{0.25} = 4

= 4 \cdot 4

Multiply the numbers:

4 \cdot 4 = 16

= 16

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Frequently Asked Questions (FAQ)

What is 4(0.5)^{-2} ?
The solution to 4(0.5)^{-2} is 16