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Popular >

simplify+729^{-5/6}

Solution

simplify

+ 72 9^{- \frac{5}{6}}

Solution

\frac{1}{243}

+1

Decimal Notation

0.00411 \dots

Solution steps

72 9^{- \frac{5}{6}}

Factor the number:

729 = 3^{6}

= (3^{6})^{- \frac{5}{6}}

Apply exponent rule:

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

= 3^{6 (- \frac{5}{6})}

6 (- \frac{5}{6}) = - 5

= 3^{- 5}

Apply exponent rule:

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

3^{- 5} = \frac{1}{3 ^{5}}

= \frac{1}{3 ^{5}}

3^{5} = 243

= \frac{1}{243}

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Frequently Asked Questions (FAQ)

What is simplify+729^{-5/6} ?
The solution to simplify+729^{-5/6} is 1/243