What is (x^2+1/(x^3))^{10} ?

The solution to (x^2+1/(x^3))^{10} is ((x^5+1)^{10})/(x^{30)}

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simplify (x^2+1/(x^3))^{10}

simplify

(x^{2} + \frac{1}{x ^{3}})^{10}

\frac{( x ^{5} + 1 ) ^{10}}{x ^{30}}

Solution steps

(x^{2} + \frac{1}{x ^{3}})^{10}

Join

x^{2} + \frac{1}{x ^{3}} : \frac{x ^{5} + 1}{x ^{3}}

= (\frac{x ^{5} + 1}{x ^{3}})^{10}

Apply exponent rule:

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

= \frac{( x ^{5} + 1 ) ^{10}}{( x ^{3} ) ^{10}}

Simplify

(x^{3})^{10} : x^{30}

= \frac{( x ^{5} + 1 ) ^{10}}{x ^{30}}

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What is (x^2+1/(x^3))^{10} ?
The solution to (x^2+1/(x^3))^{10} is ((x^5+1)^{10})/(x^{30)}