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Popular >

simplify 5*(1/2)^{-2}

Solution

simplify

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

Solution

20

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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

= 5 \cdot 4

Multiply the numbers:

5 \cdot 4 = 20

= 20

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Frequently Asked Questions (FAQ)

What is 5*(1/2)^{-2} ?
The solution to 5*(1/2)^{-2} is 20