7-2 Multiplying powers with the same base.

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Presentation transcript:

7-2 Multiplying powers with the same base

Product of powers, numeric base, variable base To multiply powers with the same base, keep the base and add the exponents. aᵐ • aᴺ = aᵐ⁺ᴺ , where a ≠ 0 and m and n are integers. 9⁴ • 9² = 9⁶ = 531,441 x² • x⁶ = x⁸

Examples Together 1. 3² • 3⁴ 2. n⁷ • n² 3. 2² • 2¯⁷ • 2³ 4. p¯² z • p z³

Examples On Your Own a. y⁴ • y² • y¯² b. 4¯⁴ • 4⁴ c. 6² • 6⁵ d. a² m⁵ • a¯⁷m

Homework Page 199 1-6 all, 27-32 all

Product of powers variable bases with coefficients To multiply powers with the same base and a coefficient, multiply the coefficients, keep the base and add the exponents. 2aᵐ • 3aᴺ = 6aᵐ⁺ᴺ , where a ≠ 0 and m and n are integers. 3k⁴ • 4k⁵ = 12k⁹

Examples Together 1. 5x³ •2x⁵ 2. 3p¯⁹ • 6p⁷ 3. 7m²v¯⁵ • 2m⁴v³

Examples On Your Own a. 8q¯⁷ • 2q⁴ b. 4a⁶b³• 5a¯⁴b

Homework Page 199 1-15, 44, 45, 46