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Popular >

simplify [(-6)^3]^{-1}

Solution

simplify

[(- 6)^{3}]^{- 1}

Solution

- \frac{1}{216}

+1

Decimal Notation

- 0.00462 \dots

Solution steps

[(- 6)^{3}]^{- 1}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (- 6)^{3 (- 1)}

3 (- 1) = - 3

= (- 6)^{- 3}

Apply exponent rule:

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

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

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 6)^{3} = - 6^{3}

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

Apply the fraction rule:

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

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

6^{3} = 216

= - \frac{1}{216}

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Frequently Asked Questions (FAQ)

What is [(-6)^3]^{-1} ?
The solution to [(-6)^3]^{-1} is -1/216