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