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Popular >

simplify (x^{-3})^3

Solution

simplify

(x^{- 3})^{3}

Solution

\frac{1}{x ^{9}}

Solution steps

(x^{- 3})^{3}

Apply exponent rule:

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

assuming

a \geq 0

= x^{- 3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= x^{- 9}

Apply exponent rule:

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

x^{- 9} = \frac{1}{x ^{9}}

= \frac{1}{x ^{9}}

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6 \cdot \frac{5}{6}

Frequently Asked Questions (FAQ)

What is (x^{-3})^3 ?
The solution to (x^{-3})^3 is 1/(x^9)