Quotient of Powers Worksheet

Practice applying the quotient of powers rule to simplify expressions with exponents.

Grade 11 Math Number SenseExponentsQuotient of Powers

Use This Worksheet

Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.C

Topics

mathexponentsquotient of powersalgebragrade 11

7 sections · Free to use · Printable

Quotient of Powers Rule

Name:

Date:

Score:

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'?