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Dividing Monomials Worksheet

Grade 10 Math worksheet covering division of monomials, including problems with coefficients, variables, and exponents.

Grade 10 Math AlgebraDividing Monomials
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Includes

2 Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

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

Topics

MathAlgebraMonomialsDivisionExponentsGrade 10
7 sections · Free to use · Printable
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Dividing Monomials

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Simplify each expression by dividing the monomials. Remember to divide coefficients and subtract exponents for like bases. Express your answers with positive exponents only.

1. 12x⁵ / 4x² =  

2. 20y⁷ / 5y³ =  

3. -18a⁶b⁴ / 3a²b =  

4. Simplify: (36m⁸n⁵) / (9m³n²)

a

4m⁵n³

b

4m¹¹n⁷

c

27m⁵n³

d

4m⁵n⁷

5. Which expression is equivalent to (45p⁹q⁶) / (15p²q⁶)?

a

3p⁷

b

3p⁷q¹²

c

3p¹¹

d

30p⁷

6. Explain the rule for dividing variables with exponents. Provide an example.

7. When dividing monomials, you add the exponents of like bases.

T

True

F

False

8. The expression x⁵/x⁻² simplifies to x³.

T

True

F

False

9. Simplify: (100x¹⁰y³z⁵) / (25x⁴y²z) =  

10. Simplify: (-42j⁷k³) / (7j⁵k) =