Product of Powers Practice
Practice worksheet for understanding and applying the product of powers rule for exponents.
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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?
9
27
81
6
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.
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