Power of a Product Worksheet
Grade 10 Math worksheet covering the power of a product rule with various exercises.
Includes
Standards
Topics
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?
5a⁴
20a
625a⁴
625a
2. Simplify (-2x²y)³.
-8x⁶y³
-6x⁶y³
8x⁵y³
8x⁶y³
1. Simplify the expression (4m²n³)². Show your steps.
2. Simplify the expression (-3xy⁴)³.
1. (2x)³ = 8x³
True
False
2. (ab)⁰ = 1, assuming a ≠ 0 and b ≠ 0.
True
False
Related Worksheets
Properties of Exponents Worksheet
This worksheet covers the fundamental properties of exponents, including product rule, quotient rule, power rule, zero exponent rule, and negative exponent rule, suitable for Grade 10 students.
Grade 10 Exponentiation Worksheet
This worksheet covers fundamental concepts and applications of exponentiation for Grade 10 students, including properties of exponents, negative and zero exponents, and scientific notation.
Negative and Fractional Indices Worksheet
Grade 10 Math worksheet focusing on understanding and applying negative and fractional indices.
Real Number System - Grade 10 Math
Explore the real number system, including rational and irrational numbers, properties, and operations on real numbers.