Product of Powers Practice

Practice worksheet for understanding and applying the product of powers rule for exponents.

Grade 6 Math Number SenseExponentsProduct of Powers

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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

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

Topics

mathgrade 6exponentsproduct of powersnumber sense

7 sections · Free to use · Printable

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Product of Powers Practice

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Read each question carefully and answer to the best of your ability. Remember the product of powers rule: When multiplying exponents with the same base, you add the powers. For example, x^a * x^b = x^(a+b).

1. When multiplying exponents with the same base, you their powers.

2. In the expression 5^3, the base is and the exponent is .

3. The product of powers rule states that a^m • a^n = .

4. Which expression is equivalent to 2^3 • 2^4?

2^7

2^12

4^7

4^12

5. What is the value of 3^2 • 3^1?

Simplify each expression using the product of powers rule. Show your work.

6. 4^5 • 4^2

7. 7^3 • 7^6

8. x^8 • x^4

9. 5^2 • 5^3 = 5^6

True

False

10. The expression y^1 • y^7 simplifies to y^8.

True

False

11. A scientist is studying a bacterial culture. On Monday, there were 10^3 bacteria. On Tuesday, the number of bacteria multiplied by 10^2. How many bacteria are there on Tuesday? Express your answer using exponents.