There are two types of power rules with rational exponents. Here is the two power laws in algebraic form with proofs to use them as formulas in mathematics.

01

$\large b^{\frac{1}{n}} \,=\, \sqrt[\displaystyle n]{b}$

02

$\large b^{\frac{m}{n}} \,=\, \sqrt[\displaystyle n]{b^{\displaystyle m}}$

List of most recently solved mathematics problems.

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Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

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Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

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Learn how to find derivative of $\sin{(x^2)}$ with respect to $x$.

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Find $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{x-\sin{x}}{x^3}$

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