What are laws of exponents?

x^a is x time itself a number of times

x^0=1 any number raised to the zero power equals 1

x^n times x^m = x^(n+m)

x^n divided by x^m = x^(n-m)

x^(1/n) is the n-th root of x

x^(-1) is 1/x

(mathematics) Any of the laws aman am+n, am/an am-n, (am)n amn, (ab)n anbn, (a/b)n = an/bn; these laws are valid when m and n are any integers, or when a and b are positive and m and n are any real numbers. Also known as exponential law.