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Popular >

simplify 81^{-3/2}

Solution

simplify

8 1^{- \frac{3}{2}}

Solution

\frac{1}{729}

+1

Decimal Notation

0.00137 \dots

Solution steps

8 1^{- \frac{3}{2}}

Factor the number:

81 = 9^{2}

= (9^{2})^{- \frac{3}{2}}

Apply exponent rule:

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

= 9^{2 (- \frac{3}{2})}

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

= 9^{- 3}

Apply exponent rule:

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

9^{- 3} = \frac{1}{9 ^{3}}

= \frac{1}{9 ^{3}}

9^{3} = 729

= \frac{1}{729}

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x^2+4x+sqrt(28)=0

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Frequently Asked Questions (FAQ)

What is 81^{-3/2} ?
The solution to 81^{-3/2} is 1/729