a^m times a^n

a^m+n

for a not equal to zero, a^m/a^n if m > n

a^m-n

for a not equal to zero, a^m/a^n if m < n

a/a^ n-m

for a not equal to zero, a^m/a^n if m = n

1

(ab)^m

a^m times b^m (also written a^mb^m)

(a/b)^m

a^m/b^m once b is not zero

(a^m)^n

a^mn (a to the power of m times n)

a^-1

1/a

a^-2

1/a^2

a^(1/2)

square root of a

a^-(1/2)

1/square root a

a^(3/2)

square root of (a to the power of 3)

a^ -(3/2)

1/square root of (a to the power of 3)

a^1/3

cube root of a