Multiplying Powers Worksheet
Practice multiplying powers with the same base, different bases, and powers of powers for Grade 9 students.
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Multiplying Powers Worksheet
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Read each question carefully and simplify the expressions involving powers. Show your work where applicable.
1. When multiplying powers with the same base, you the exponents. For example, x^a * x^b = x^(a+b).
2. Simplify: 5^3 * 5^4 = 5^
3. Simplify: x^7 * x^2 = x^
4. Simplify: (2y^5)(3y^6) =
5. Which of the following is equivalent to a^8 * a^3?
a^24
a^11
a^5
a^83
6. Simplify: (4k^2)(2k^5)
8k^7
6k^7
8k^10
6k^10
7. Explain the rule for simplifying a power raised to another power (e.g., (x^a)^b).
8. Simplify: (m^3)^5
9. Simplify: ( (2^2)^3 )^2
10. (x^4)^2 is equivalent to x^6.
True
False
11. 3^2 * 3^3 is equal to 3^5.
True
False
12. Simplify: (4x^2y^3)(2x^5y)
13. Simplify: (-3a^4b^2)(5a^3b^6)
14. Simplify: (x^2)^3 * x^4