Williams' Wonderful World of Math

Exponents

1. When multiplying like bases, add the exponents:  am x an = am+n.
Example:
a2 • a4 = a2+4 = a6

2. When dividing like bases, subtract the exponents and determine if your base is in the numerator or in the denominator:  am/an = am-n.
Examplea6/a4 = a6-4 = a2      Also, a4/a6 = a4-6 = a-2 = 1/a2  (Since 6 is bigger than 4 and is in the denominator, then the base and its exponent will be in the denominator.)

3. When bringing a power to a power, multiply the exponents: (am) n = amn.
Example:
(a2) 4 = a2x4 = a8    Also, (a2) -4 = a2x(-4) = a-8  = 1/a8
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