Power of a Product Worksheet
Grade 10 Math worksheet covering the power of a product rule with various exercises.
Includes
Fill in the BlanksMultiple ChoiceShort AnswerTrue / False
Standards
CCSS.MATH.CONTENT.HSA.SSE.B.3.C
Topics
mathalgebraexponentspower of a productgrade 10
6 sections · Free to use · Printable
Power of a Product Rule
Name:
Date:
Score:
Read each question carefully and apply the power of a product rule to simplify the expressions.
1. The power of a product rule states that (ab)ⁿ = aⁿbⁿ. This means you distribute the exponent to each inside the parentheses.
2. When simplifying (3x)², the result is 3²x², which simplifies to .
3. The expression (2xy)³ simplifies to 2³x³y³, which equals .
1. Which of the following is equivalent to (5a)⁴?
a
5a⁴
b
20a
c
625a⁴
d
625a
2. Simplify (-2x²y)³.
a
-8x⁶y³
b
-6x⁶y³
c
8x⁵y³
d
8x⁶y³
1. Simplify the expression (4m²n³)². Show your steps.
2. Simplify the expression (-3xy⁴)³.
1. (2x)³ = 8x³
T
True
F
False
2. (ab)⁰ = 1, assuming a ≠ 0 and b ≠ 0.
T
True
F
False