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Popular >

simplify (x^6)^{-1/2}

Solution

simplify

(x^{6})^{- \frac{1}{2}}

Solution

\frac{1}{x ^{3}}

Solution steps

(x^{6})^{- \frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{6 (- \frac{1}{2})}

6 (- \frac{1}{2}) = - 3

= x^{- 3}

Apply exponent rule:

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

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

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

Popular Examples

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- 8 = a (- 8^{2} + 16 (- 8) + 60)

x^{2} - 15 = 0

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z^{2} + 2 z

simplify 0.3(10)-18(1-e^{-10/60})simplify

0.3 (10) - 18 (1 - e^{- \frac{10}{60}})

Frequently Asked Questions (FAQ)

What is (x^6)^{-1/2} ?
The solution to (x^6)^{-1/2} is 1/(x^3)