Grade 9 Exponent Operations Worksheet
This worksheet covers fundamental operations with exponents, including multiplication, division, power of a power, and negative exponents, suitable for Grade 9 math students.
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Standards
Topics
Exponent Operations Review
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Read each question carefully and simplify the expressions using the rules of exponents. Show all your work.
1. When multiplying exponents with the same base, you the powers. For example, x^a * x^b = x^(a+b).
2. When dividing exponents with the same base, you the powers. For example, x^a / x^b = x^(a-b).
3. A negative exponent indicates the of the base. For example, x^-n = 1/x^n.
4. Anything raised to the power of zero (except 0 itself) equals .
5. Simplify the expression: (2^3)^4
6. Simplify the expression: x^5 * x^2
7. Simplify the expression: (y^7) / (y^3)
8. Which of the following is equivalent to 5^-2?
1/25
-25
25
1/10
9. What is the value of (3x^2)^3?
9x^6
27x^6
27x^5
9x^5
10. (x^2)^3 = x^5
True
False
11. Any non-zero number raised to the power of 0 is 1.
True
False
12. Simplify the expression: (4a^3b^-2) * (2a^-1b^5)
13. Simplify the expression: ((3x^4y^2)^2) / (9x^5y^3)