Grade 12 Monomials Operations Worksheet
This worksheet covers operations with monomials, including multiplication, division, and simplification, suitable for Grade 12 algebra students.
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Grade 12 Monomials Operations
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Read each question carefully and show all your work. Simplify all expressions to their lowest terms.
Simplify the following expressions by multiplying the monomials:
1. (3x²y³)(5xy²)
2. (-2a⁴b)(-7a²b⁵)
Simplify the following expressions by dividing the monomials:
3. (18m⁷n⁴) ÷ (6m³n)
4. (25p⁵q²) / (-5p²q²)
Complete the following statements by simplifying the monomial expressions.
5. The product of (4x³y) and (-2x²y⁵) is .
6. When (36a⁸b³) is divided by (9a²b), the result is .
7. Which of the following is equivalent to (6x²y³)³?
18x⁵y⁶
216x⁶y⁹
6x⁶y⁹
216x⁵y⁶
8. Simplify the expression: (4x⁵y⁻²z³) * (2x⁻³y⁴z) / (8x²y⁻¹z²)