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Popular >

simplify 4*(1/2)^{-2}

Solution

simplify

4 \cdot (\frac{1}{2})^{- 2}

Solution

16

Solution steps

4 (\frac{1}{2})^{- 2}

Apply exponent rule:

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

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

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

(\frac{1}{2})^{2} = \frac{1}{4}

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

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

= 4 \cdot 4

Multiply the numbers:

4 \cdot 4 = 16

= 16

Popular Examples

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(r+7)/(-0.6)<20

\frac{r + 7}{- 0.6} < 20

(x^2-10x+24)/(x^2-1)<= 0

\frac{x ^{2} - 10 x + 24}{x ^{2} - 1} \leq 0

Frequently Asked Questions (FAQ)

What is 4*(1/2)^{-2} ?
The solution to 4*(1/2)^{-2} is 16