Home / Worksheets / Grade 6 / Math / Power of a Product Worksheet

Power of a Product Worksheet

Practice applying the power of a product rule for exponents with this Grade 6 math worksheet.

Grade 6 Math Number SensePower of a Product
Use This Worksheet

Includes

TextFill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.A.1

Topics

exponentspower of a productalgebragrade 6math
8 sections · Free to use · Printable
← More Math worksheets for Grade 6

Power of a Product Rule

Name:

Date:

Score:

Read each question carefully and apply the power of a product rule to simplify the expressions.

The Power of a Product Rule states that when a product is raised to an exponent, each factor in the product is raised to that exponent. For example: (ab)^n = a^n * b^n

1. According to the power of a product rule, (xy)^3 = x^3 *  .

2. When simplifying (2a)^4, you would raise both 2 and   to the power of 4.

3. The expression (3m)^2 is equivalent to 3^2 *  ^2.

4. Which of the following is equivalent to (4p)^2?

a

4p^2

b

8p

c

16p^2

d

16p

5. Simplify the expression (5x)^3.

6. Simplify the expression (2ab)^4.

7. (mn)^5 = m^5n^5

T

True

F

False

8. A square has a side length of 3y units. Write an expression for the area of the square using the power of a product rule, then simplify it.