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Popular >

simplify 27^{(-1)/3}

Solution

simplify

2 7^{\frac{- 1}{3}}

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

2 7^{\frac{- 1}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

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

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

3 \cdot \frac{- 1}{3} = - 1

= 3^{- 1}

Apply exponent rule:

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

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

= \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 27^{(-1)/3} ?
The solution to 27^{(-1)/3} is 1/3