objective: find the power of a power. find the power of a product. standard addressed: 2.1.8.e:...

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8.2 Laws of Exponents: Powers and Products Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential forms.

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Page 1: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

8.2 Laws of Exponents: Powers and Products

Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential forms.

Page 2: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

To raise a power to a power, multiply the exponents.

Page 3: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Ex. 1

Page 4: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

You can simplify expressions by using the definition of exponents.

Page 5: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Ex. 2a.

Page 6: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Ex. 2b. Simplify (c2d2)4 by using the definition of exponents.

c8d8

Page 7: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

The Power-of-a-Product Property can be extended to include all factors inside the

parentheses.For example: (xyz)n = xn yn zn

Page 8: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Ex. 3

Page 9: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Ex. 4

Page 10: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Ex. 4 c and d.C.

D.

4e12f3

16p20r12

Page 11: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Ex. 5

Page 12: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Powers of -1

Page 13: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential

Ex. 6

Page 14: Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential