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Popular >

simplify (16)^{-3/2}

Solution

simplify

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

Solution

\frac{1}{64}

+1

Decimal

0.015625

Solution steps

1 6^{- \frac{3}{2}}

Factor the number:

16 = 4^{2}

= (4^{2})^{- \frac{3}{2}}

Apply exponent rule:

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

= 4^{2 (- \frac{3}{2})}

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

= 4^{- 3}

Apply exponent rule:

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

4^{- 3} = \frac{1}{4 ^{3}}

= \frac{1}{4 ^{3}}

4^{3} = 64

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is (16)^{-3/2} ?
The solution to (16)^{-3/2} is 1/64