Math Doubts

Power Laws of Exponents

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


Power of a Power Rule

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


Negative Exponent Rule

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


Radical Exponent Rule

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


Exponent of a Radical Rule

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


Zero Exponent Rule

$\large b^0 \,=\, 1$


One Exponent Rule

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

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