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Popular >

simplify (0.25)(0.5)^{-3}

Solution

simplify

(0.25) (0.5)^{- 3}

Solution

2

Solution steps

(0.25) \cdot 0. 5^{- 3}

Apply rule:

(a) = a

(0.25) = 0.25

= 0.25 \cdot 0. 5^{- 3}

Apply exponent rule:

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

0. 5^{- 3} = \frac{1}{0. 5 ^{3}}

= 0.25 \cdot \frac{1}{0. 5 ^{3}}

0. 5^{3} = 0.125

= 0.25 \cdot \frac{1}{0.125}

Divide the numbers:

\frac{1}{0.125} = 8

= 0.25 \cdot 8

Multiply the numbers:

0.25 \cdot 8 = 2

= 2

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Frequently Asked Questions (FAQ)

What is (0.25)(0.5)^{-3} ?
The solution to (0.25)(0.5)^{-3} is 2