Quotient of Powers Worksheet
Practice worksheet for 7th-grade students on applying the quotient of powers rule to simplify expressions with exponents.
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Quotient of Powers Rule
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Simplify each expression using the quotient of powers rule. Show your work.
1. When dividing powers with the same base, you the exponents.
2. The quotient of powers rule states that for any non-zero number 'a' and integers 'm' and 'n', a^m / a^n = a^( ).
3. Simplify: 5^7 / 5^3
4. Simplify: x^10 / x^4
5. Simplify: (-2)^9 / (-2)^5
6. Which expression is equivalent to y^8 / y^2?
y^4
y^6
y^10
y^16
7. The expression (3^5) / (3^5) simplifies to 3^0, which equals 1.
True
False
8. When applying the quotient of powers rule, the bases must be different.
True
False
9. A rectangular prism has a volume of 10^8 cubic units. If its base area is 10^5 square units, what is its height? (Hint: Volume = Base Area × Height)
10. Explain in your own words why a^m / a^n = a^(m-n). Provide an example.