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Popular >

simplify 729^{-4/3}

Solution

simplify

72 9^{- \frac{4}{3}}

Solution

\frac{1}{6561}

+1

Decimal Notation

0.00015 \dots

Solution steps

72 9^{- \frac{4}{3}}

Factor the number:

729 = 9^{3}

= (9^{3})^{- \frac{4}{3}}

Apply exponent rule:

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

= 9^{3 (- \frac{4}{3})}

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

= 9^{- 4}

Apply exponent rule:

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

9^{- 4} = \frac{1}{9 ^{4}}

= \frac{1}{9 ^{4}}

9^{4} = 6561

= \frac{1}{6561}

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Frequently Asked Questions (FAQ)

What is 729^{-4/3} ?
The solution to 729^{-4/3} is 1/6561