Product of Powers Worksheet
Practice worksheet for 7th-grade students on understanding and applying the product of powers rule in exponents.
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Product of Powers Worksheet
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Date:
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Read each question carefully and apply the product of powers rule to simplify the expressions.
1. When multiplying powers with the same base, you the exponents. ( )
2. The product of powers rule states that a^m * a^n = a^( ). ( )
3. In the expression 2^3 * 2^4, the base is and the exponents are . ( )
Simplify the following expressions using the product of powers rule. Show your work.
4. 3^2 * 3^5
5. x^4 * x^3
6. 5^1 * 5^6 * 5^2
7. Which of the following is equivalent to 7^3 * 7^8?
7^24
7^11
49^11
Cannot be simplified
8. The expression 2^a * 2^b can be written as:
(2*2)^(a*b)
2^(a+b)
4^(a+b)
2^(a*b)
9. The expression 4^2 * 4^3 is equal to 4^6.
True
False
10. When multiplying powers, you always multiply the bases together.
True
False
11. Explain in your own words why the product of powers rule works. You can use an example to support your explanation.
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