1. Unit 2 Lesson 4 Learn Properties of Exponents
Power Rules

2. Basics (32)3 = (3  3) × (3  3) × (3  3) (32) (32) (32) = 36
Raising a power to a power is the same
as raising the base to the product of the
exponents.

3. For every nonzero number a and integers m and n, (am)n = amn
When you raise a powers to a power, keep
the base and multiply the exponents.
Examples
(44)2 = 48
(w2)5 =
w10
(b0)7 =
b0 = 1

4. Simplifying an Expression with Powers
1 310
32  (34) -3 =
32  =
3-10 =

5. Raising a Product to a Power
(2x)4 = 24  x4
2x  2x  2x  2x =
16x4
For every nonzero number a and b and
integer n, (ab)n = anbn

6. (3b)3 = 33  b3 = 27b3 (4ry)3 = 43  r3  y3 = 64r3y3 (2w2)4 =
Examples
(3b)3 =
33  b3 =
27b3
(4ry)3 =
43  r3  y3 =
64r3y3
(2w2)4 =
24  w8 =
16w8