Dividing Monomials Worksheet
Grade 10 Math worksheet covering division of monomials, including problems with coefficients, variables, and exponents.
Includes
Standards
Topics
Dividing Monomials
Name:
Date:
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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)
4m⁵n³
4m¹¹n⁷
27m⁵n³
4m⁵n⁷
5. Which expression is equivalent to (45p⁹q⁶) / (15p²q⁶)?
3p⁷
3p⁷q¹²
3p¹¹
30p⁷
6. Explain the rule for dividing variables with exponents. Provide an example.
7. When dividing monomials, you add the exponents of like bases.
True
False
8. The expression x⁵/x⁻² simplifies to x³.
True
False
9. Simplify: (100x¹⁰y³z⁵) / (25x⁴y²z) =
10. Simplify: (-42j⁷k³) / (7j⁵k) =
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