Math Doubts

Power Rules of Exponents

There are six power rules in exponentiation and here is the list of the formulas in algebraic form.

Power Rule

$\large {(b^m)}^n \,=\, b^{mn}$

Power Zero Rule

$b^0 \,=\, 1$

Negative Power Rule

$\large b^{-m} \,=\, \dfrac{1}{b^m}$

Radical Power Rule

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

Rational Power Rule

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

Power 1 Rule

$\large b^1 \,=\, b$

Email subscription
Math Doubts
Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers. Know more
Follow us on Social Media
Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

Learn more