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Multiplying Powers Worksheet

Grade 7 Math worksheet focusing on understanding and applying the rules for multiplying powers with the same base.

Grade 7 Math Number SenseExponentsMultiplying Powers
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.A.1

Topics

MathGrade 7ExponentsPowersMultiplication
8 sections · Free to use · Printable
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Multiplying Powers

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Read each question carefully and follow the instructions to simplify the expressions involving powers.

1. When multiplying powers with the same base, what do you do with the exponents?

2. To simplify 5³ × 5⁴, you   the exponents and keep the   base.

3. The expression x⁵ × x² can be written as x to the power of  .

4. Which of the following is equivalent to 3² × 3⁵?

a

3⁷

b

3¹⁰

c

9⁷

d

9¹⁰

5. Simplify: (2a³) (4a⁴)

a

8a⁷

b

8a¹²

c

6a⁷

d

6a¹²

Simplify the following expressions. Show your work.

6. 7⁶ × 7³

7. y⁸ × y

8. (2x²) (5x³)

9. m² × m⁵ × m

10. The expression 4³ × 4⁶ is equal to 4¹⁸.

T

True

F

False

11. When multiplying powers, you always multiply the bases.

T

True

F

False

12. A scientist is studying a bacterial culture. At the start of the experiment, there are 2³ bacteria. After one hour, the number of bacteria multiplies by 2⁴. After another hour, it multiplies by 2². How many bacteria are there in total at the end of the experiment? Express your answer as a single power.