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Power of a Product Worksheet

Grade 12 Math worksheet focusing on the Power of a Product rule with various exercises.

Grade 12 Math Number SensePower of a Product
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.C

Topics

MathAlgebraExponentsPower of a ProductGrade 12
7 sections · Free to use · Printable
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Power of a Product Rule

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Read each question carefully and apply the Power of a Product rule to simplify the expressions. Show all your work.

1. The Power of a Product rule states that (ab)^n =  .

2. When simplifying (2x)^3, the exponent 3 is applied to both 2 and  .

3. The expression (3y^2)^4 simplifies to 3^4 *  .

1. Which of the following is equivalent to (5x)^2?

a

5x^2

b

10x

c

25x^2

d

25x

2. Simplify the expression (xy^3)^4.

a

x^4y^7

b

x^4y^12

c

x^4y^3

d

xy^12

1. Simplify (4a^2b)^3.

2. Simplify (-2x^3y^4)^5.

3. Simplify (1/3 mn^2)^2.

1. (p^2q)^3 = p^6q^3

T

True

F

False

2. (2c^5d)^2 = 4c^7d^2

T

True

F

False

1. If (x^a y^b)^c = x^12 y^15, and a=3, find the values of b and c.

2. A square has a side length of 3xy^2. Write an expression for the area of the square, simplified using the Power of a Product rule.