What is (1/((x^{1/3))+x^{1/2}})^7 ?

The solution to (1/((x^{1/3))+x^{1/2}})^7 is 1/((x^{1/3)+x^{1/2})^7}

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simplify (1/((x^{1/3))+x^{1/2}})^7

simplify

\frac{1}{( x ^{\frac{1}{3}} ) + x ^{\frac{1}{2}}}^{7}

\frac{1}{( x ^{\frac{1}{3}} + x ^{\frac{1}{2}} ) ^{7}}

Solution steps

\frac{1}{( x ^{\frac{1}{3}} ) + x ^{\frac{1}{2}}}^{7}

Apply rule:

(a) = a

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

= (\frac{1}{x ^{\frac{1}{3}} + x ^{\frac{1}{2}}})^{7}

Apply exponent rule:

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

= \frac{1 ^{7}}{( x ^{\frac{1}{3}} + x ^{\frac{1}{2}} ) ^{7}}

1^{7} = 1

= \frac{1}{( x ^{\frac{1}{3}} + x ^{\frac{1}{2}} ) ^{7}}

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What is (1/((x^{1/3))+x^{1/2}})^7 ?
The solution to (1/((x^{1/3))+x^{1/2}})^7 is 1/((x^{1/3)+x^{1/2})^7}