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

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

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