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Popular >

simplify 243^{-6/5}

Solution

simplify

24 3^{- \frac{6}{5}}

Solution

\frac{1}{729}

+1

Decimal Notation

0.00137 \dots

Solution steps

24 3^{- \frac{6}{5}}

Factor the number:

243 = 3^{5}

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

Apply exponent rule:

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

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

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

= 3^{- 6}

Apply exponent rule:

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

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

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

3^{6} = 729

= \frac{1}{729}

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Frequently Asked Questions (FAQ)

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