Laws of Exponents
\(x^{0}=1\) (for \(x\neq0\))
\(x^{-a}=\frac{1}{x^{a}}\)
\(x^{\frac{a}{b}}=\sqrt[b]{x^{a}}\)
\(\left( xy \right)^{a}=x^{a}y^{a}\)
\({\left( \frac{x}{y} \right)}^{a}=\frac{x^{a}}{y^{a}}\)
\(x^{a}x^{b}=x^{a+b}\)
\(\frac{x^{a}}{x^{b}}=x^{a-b}\)
\({\left( x^{a} \right)}^{b}=x^{ab}\)