Power of a Product Worksheet
Grade 12 Math worksheet focusing on the Power of a Product rule with various exercises.
Includes
Standards
Topics
Power of a Product Rule
Name:
Date:
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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?
5x^2
10x
25x^2
25x
2. Simplify the expression (xy^3)^4.
x^4y^7
x^4y^12
x^4y^3
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
True
False
2. (2c^5d)^2 = 4c^7d^2
True
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.
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