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Popular >

simplify-4^{-3/2}

Solution

simplify

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

Solution

- \frac{1}{8}

+1

Decimal Notation

- 0.125

Solution steps

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

Factor the number:

4 = 2^{2}

= - (2^{2})^{- \frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= - 2^{2 (- \frac{3}{2})}

2 (- \frac{3}{2}) = - 3

= - 2^{- 3}

Apply exponent rule:

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

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

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

2^{3} = 8

= - \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is simplify-4^{-3/2} ?
The solution to simplify-4^{-3/2} is -1/8