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Quotient of Powers Worksheet

Practice worksheet for Grade 10 students on simplifying expressions using the quotient of powers rule.

Grade 10 Math Number SenseExponentsQuotient of Powers
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6

Topics

MathGrade 10ExponentsQuotient of Powers
7 sections · Free to use · Printable
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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?

a

x^11

b

x^5

c

x^24

d

1/x^5

4. Simplify: (y^10 * y^2) / y^5

a

y^7

b

y^17

c

y^12

d

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.

T

True

F

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)