Exponents
Related note: Logarithms
Laws
For
| Name | Formula |
|---|---|
| Product | $$a^m\times a^n=a^{m+n}$$ |
| Quotient | $$a^m\div a^n=a^{m-n}$$ |
| Power of Power | $$(a^m)^n=a^{mn}$$ |
| Power of Product | $$(ab)^m=a^mb^m$$ |
| Power of Quotient | $$\left( \frac{a}{b} \right)^m=\frac{a^m}{b^m}$$ |
| Negative Exponent | $$a^{-m}=\frac{1}{a^m}$$ |
| Fractional Exponent | $$a^{m/n}=\sqrt[n]{ a^m }$$ |
| Zero Exponent | $$a^0=1$$ |
| Identity Exponent | $$a^1=a$$ |