Properties of Exponents

Multiplication

x^a(x^b) = x^a+b

$\frac{x^{a}}{x^{b}}$ = x^a-b

(x^a)^{b = x^ab}

x⁰ = 1

x^-a = $\frac{1}{x^{a}}$

x^{$\frac{n}{m}$} = $\sqrt[m]{x^{n}}$

log(ab) = log(a) + log(b)

log( $\frac{a}{b}$ ) = log(a) - log(b)

log(aⁿ) = (n)log(a)

log(1) = 0

log_a(aⁿ) = n

$\frac{logb(n)}{logb(a)}$ = log_a(n)