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Popular >

simplify ((125)/(x^6))^{1/3}

Solution

simplify

(\frac{125}{x ^{6}})^{\frac{1}{3}}

Solution

\frac{5}{x ^{2}}

Solution steps

(\frac{125}{x ^{6}})^{\frac{1}{3}}

Apply exponent rule:

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

= \frac{12 5 ^{\frac{1}{3}}}{( x ^{6} ) ^{\frac{1}{3}}}

12 5^{\frac{1}{3}} = 5

= \frac{5}{( x ^{6} ) ^{\frac{1}{3}}}

Simplify

(x^{6})^{\frac{1}{3}} : x^{2}

= \frac{5}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is ((125)/(x^6))^{1/3} ?
The solution to ((125)/(x^6))^{1/3} is 5/(x^2)