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Popular >

simplify 0.5*4^{-0.5}

Solution

simplify

0.5 \cdot 4^{- 0.5}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

0.5 \cdot 4^{- 0.5}

Apply exponent rule:

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

4^{- 0.5} = \frac{1}{4 ^{0.5}}

= 0.5 \cdot \frac{1}{4 ^{0.5}}

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

= 0.5 \cdot \frac{1}{2}

0.5 = \frac{1}{2}

= \frac{1}{2} \cdot \frac{1}{2}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is 0.5*4^{-0.5} ?
The solution to 0.5*4^{-0.5} is 1/4