Quotient of Powers Worksheet
Practice worksheet for Grade 10 students on simplifying expressions using the quotient of powers rule.
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Topics
Quotient of Powers
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Simplify each expression using the quotient of powers rule. Show your work where necessary.
1. When dividing powers with the same base, you the exponents.
2. The quotient of powers rule states that a^m / a^n = .
3. Which of the following is equivalent to x^8 / x^3?
x^11
x^5
x^24
1/x^5
4. Simplify: (y^10 * y^2) / y^5
y^7
y^17
y^12
y^50
5. Simplify the expression: (m^7 * n^4) / (m^3 * n^2)
6. Explain why x^0 = 1 using the quotient of powers rule.
7. The expression (a^5 / a^2) is equivalent to a^10.
True
False
8. A rectangular prism has a volume of 10x^5 cubic units. If its base area is 2x^2 square units, what is its height? (Recall: Volume = Base Area × Height)
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