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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

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

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.

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