Quotient of Powers Worksheet
Practice applying the quotient of powers rule to simplify expressions with exponents.
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Quotient of Powers Rule
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Read each question carefully and simplify the exponential expressions using the quotient of powers rule. Show all your work.
1. The quotient of powers rule states that when dividing two powers with the same base, you the exponents.
2. According to the rule, a^m / a^n = a^( ).
1. Simplify: x^8 / x^3
2. Simplify: (y^10) / (y^4)
3. Simplify: (k^5 * m^7) / (k^2 * m^3)
1. Which of the following is equivalent to (a^12) / (a^4)?
a^3
a^8
a^16
a^48
2. What is the simplified form of (p^7 * q^9) / (p^3 * q^2)?
p^4 * q^7
p^10 * q^11
p^21 * q^18
p^4 * q^4.5
1. (5^6) / (5^2) = 5^3
True
False
2. When simplifying (a^x) / (a^y), the result is a^(x-y).
True
False
1. Simplify the expression: (12x^9y^5) / (3x^2y^3)
2. If (z^a) / (z^4) = z^7, what is the value of 'a'?
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