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Popular >

simplify 0.5(2)^{-0.5}

Solution

simplify

0.5 (2)^{- 0.5}

Solution

\frac{1}{2 ^{1.5}}

+1

Decimal Notation

0.35355 \dots

Solution steps

0.5 \cdot 2^{- 0.5}

Apply exponent rule:

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

2^{- 0.5} = \frac{1}{2 ^{0.5}}

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

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

= \frac{0.5}{2 ^{0.5}}

\frac{0.5}{2 ^{0.5}} = \frac{5}{10 \cdot 2 ^{0.5}}

= \frac{5}{10 \cdot 2 ^{0.5}}

Cancel the numbers:

\frac{5}{10} = \frac{1}{2}

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

2 \cdot 2^{0.5} = 2^{1.5}

= \frac{1}{2 ^{1.5}}

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Frequently Asked Questions (FAQ)

What is 0.5(2)^{-0.5} ?
The solution to 0.5(2)^{-0.5} is 1/(2^{1.5)}