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Popular >

simplify 729^{-1/3}

Solution

simplify

72 9^{- \frac{1}{3}}

Solution

\frac{1}{9}

+1

Solution steps

72 9^{- \frac{1}{3}}

Factor the number:

729 = 9^{3}

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

Apply exponent rule:

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

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

3 (- \frac{1}{3}) = - 1

= 9^{- 1}

Apply exponent rule:

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

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

= \frac{1}{9}

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Frequently Asked Questions (FAQ)

What is 729^{-1/3} ?
The solution to 729^{-1/3} is 1/9