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Popular >

simplify ((16)^-)^{3/2}

Solution

simplify

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

Solution

\frac{1}{64}

+1

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

Apply exponent rule:

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

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

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