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Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
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$\int_{-125}^{\left|\infty15\right|} x^{-\frac{1}{3}}dx$
Learn how to solve problems step by step online. Integrate the function 1/(x^1/3) from -125 to abs(\infty15). Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -\frac{1}{3}. Evaluate the definite integral. Calculate the power \sqrt[3]{\left(-125\right)^{2}}.