(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

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

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.

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

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 ∙ x4 + 4 + 4 2 1 ∙ 3 x 4 ∙ 3 =8x12 (-5x2)4 (-5x2)4 (-5x2) ∙ (-5x2) ∙ (-5x2) ∙(-5x2) (-5)4x2 + 2 + 2 + 2 (-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

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

Assignment 7.3 exponent worksheet