The following properties of powers and exponents are true for any positive base g and any real numbers a and b :
g 0 = 1
g - a = 1 g a
g 1 a = g a as long as a > 0 .
g a + b = g a ⋅ g b
g a - b = g a g b
( g a ) b = g a ⋅ b