Review of Introductory Mathematics
Basic Rules for Exponents
The following rules are applied to exponents.
To multiply numbers with the same base, add the exponents and keep the
base the same.
aman = am+n
22 x 23 = (2 x 2) x (2 x 2 x 2) = 2 x 2 x 2 x 2 x 2 = 25
When raising a power of a number to a power, multiply the exponents and
keep the base the same.
(am)n = amn
(a2)3 = (a x a) x (a x a) x (a x a) = a6
that is, you multiply (a x a) three times. Similarly, for (am)n, one multiplies (am) n times.
There are m values of a in each parenthesis multiplied by n parenthesis or m x n values
of a to multiply.
Thus, (am)n = amn
When dividing two exponential numbers, subtract the powers.
× a× a× a