Quotient of Powers Worksheet
Practice applying the quotient of powers rule to simplify exponential expressions.
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Quotient of Powers Practice
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Simplify each expression using the quotient of powers rule. Show your work where indicated.
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 = .
3. The expression 5^7 / 5^3 simplifies to .
4. Which of the following is equivalent to x^10 / x^4?
x^14
x^6
x^2.5
x^(-6)
5. Simplify: (y^8) / (y^2)
6. Simplify: (10^12) / (10^5)
7. Simplify: (a^9 * b^6) / (a^3 * b^4)
8. (z^5) / (z^5) simplifies to z^1.
True
False
9. Explain why (m^7) / (m^3) is equal to m^4. You may use an example with numbers to support your explanation.