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Popular >

simplify 2^{-3/2}

Solution

simplify

2^{- \frac{3}{2}}

Solution

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

+1

Decimal Notation

0.35355 \dots

Solution steps

2^{- \frac{3}{2}}

Apply exponent rule:

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

2^{- \frac{3}{2}} = \frac{1}{2 ^{\frac{3}{2}}}

= \frac{1}{2 ^{\frac{3}{2}}}

2^{\frac{3}{2}} = 2 \cdot 2^{\frac{1}{2}}

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

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Frequently Asked Questions (FAQ)

What is 2^{-3/2} ?
The solution to 2^{-3/2} is 1/(2*2^{1/2)}