Math Doubts

Power Laws of Rational Exponents

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

Radical Exponent Rule

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

02

Power of a Radical Exponent Rule

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



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