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Popular >

simplify 27^{-4/3}

Solution

simplify

2 7^{- \frac{4}{3}}

Solution

\frac{1}{81}

+1

Decimal Notation

0.01234 \dots

Solution steps

2 7^{- \frac{4}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

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

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

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

= 3^{- 4}

Apply exponent rule:

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

3^{- 4} = \frac{1}{3 ^{4}}

= \frac{1}{3 ^{4}}

3^{4} = 81

= \frac{1}{81}

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Frequently Asked Questions (FAQ)

What is 27^{-4/3} ?
The solution to 27^{-4/3} is 1/81