layout title categories enable_mathjax default Exponent Rules info exponents prealgebra true These are all the major exponent rules: $$x^a\times x^b=x^{a+b}$$ $$\frac{x^a}{x^b}=x^{a-b}$$ $$(x^a)^b=x^{ab}$$ $$x^{-a}=\frac{1}{x^a}$$ $$x^0=1$$ $$x^{\frac{a}{b}}=\sqrt[b]{x^a}$$ $$x^a\times y^a=(xy)^a$$ $$\frac{x^a}{y^a}=(\frac{x}{y})^a$$