Product of Powers Worksheet

Grade 11 Math worksheet focusing on the product of powers rule for exponents, including simplification and problem-solving.

Grade 11 Math Number SenseExponentsProduct of Powers

Use This Worksheet

Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.2CCSS.MATH.CONTENT.HSN.RN.A.2

6 sections · Free to use · Printable

Product of Powers Rule

Name:

Date:

Score:

Read each question carefully and simplify the expressions using the product of powers rule. Show all your work.

1. Simplify: x^5 * x^3 =

2. Simplify: (2a^4)(3a^2) =

3. Simplify: y^7 * y^-2 =

4. Simplify: (4m^2n^3)(5mn^4) =

5. Which expression is equivalent to (p^6)(p^-4)?

p^2

p^10

p^-24

p^-2

6. If a^x * a^y = a^8 and x=3, what is the value of y?

8/3

7. A rectangular garden has a length of 2x^4 meters and a width of 5x^2 meters. Find the area of the garden in terms of x.

8. Explain in your own words the product of powers rule. Provide an example.

9. When multiplying powers with the same base, you add the exponents.

True

False

10. The expression (3^2)(3^4) is equivalent to 9^6.

True

False