Product of Powers Worksheet
Practice worksheet for Grade 10 students on the Product of Powers rule for exponents.
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Product of Powers Rule
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Read each question carefully and follow the instructions. Simplify all expressions using the Product of Powers rule.
1. When multiplying powers with the same base, you the exponents. For example, x^a * x^b = x^(a+b).
2. The Product of Powers rule states that to multiply two powers with the same base, you keep the base and the exponents.
3. The expression 2^3 * 2^4 simplifies to 2 raised to the power of .
4. Which of the following is equivalent to 5^2 * 5^3?
5^6
5^5
25^5
5^1
5. Simplify: (x^7)(x^-2)
x^9
x^-14
x^5
x^(7-2)
6. Explain in your own words why the Product of Powers rule works. You may use an example to illustrate your explanation.
7. Simplify the expression: (3x^2)(4x^5). Show your steps.
8. The expression (a^m)(b^n) can be simplified using the Product of Powers rule.
True
False
9. When simplifying (y^3)(y^0), the result is y^3.
True
False
Match each expression on the left with its simplified form on the right.
10. a^4 * a^5
A. x^10
11. x^3 * x^7
B. a^9
12. 2^1 * 2^2
C. 2^3