1. (have students make a chart of 4 x 11
7.3 Power raised to a power
(have students make a chart of 4 x 11

2. Power Property of Exponents
Expanded Form
Multiplication Property
Single Exponent
(43)2
43 · 43
43+3 46
(x4)3
x4 · x4 · x4
x4+4+4
x12
Power Property of Exponents
For any values b, m and n: (bm)n =
Students take notes from rule on.
bmn

3. Write each expression using a single base and a positive exponent.
Students put these problems in their notes. They will do most of these on their own.

4. Multiplication Property
Power Property
Expanded Form
Multiplication Property
Single Exponent
(3)2
3 ∙ 3
31 + 1
31 ∙ 2 = 32
(x5)2
x5 ∙ x5
x5 + 5
x5 ∙ 2 =x10
(3x5)2
3x5 ∙ 3x5
31+1x5 + 5
32x10 = 9x10
(xy2)3
xy2 ∙ xy2 ∙ xy2
x1+1+1y2+2+2
x3y6
Power Properties of Exponents
For any values a, b, m and n:
(bm)n = bmn (ab)n = anbn

5. Multiplication Property
Power Property
Expanded Form
Multiplication Property
Single Exponent
(2x3)2
(2x3)2
(2x3)∙ (2x3)
2 ∙2 ∙x3+ 3
21 ∙ 2 x 3 ∙ 2 = 4x6
(2x4)3
(2x4)3
2x4 ∙ 2x4 ∙ 2x4
2 ∙ 2 ∙2 ∙ x
2 1 ∙ 3 x 4 ∙ 3 =8x12
(-5x2)4
(-5x2)4
(-5x2) ∙ (-5x2) ∙ (-5x2) ∙(-5x2)
(-5)4x
(-5)4x 2 ∙ 4 = 625x8
(-2y3)3
(-2y3)3
-2y3 ∙ -2y3 ∙ -2y3
(-2)3y3+3+3
-21 ∙ 3 y3 ∙ 3=-8y9
Power Properties of Exponents
For any values a, b, m and n:
(bm)n = bmn (ab)n = anbn

6. (2x3 y4)3 8x9y12 (-2x3)2 (3x7y)2 4 x6 (-3xy3)3 9x14y2 -27x3y9 64x3y9z9

7. Assignment
7.3 exponent worksheet