Monomials Operations Worksheet
This worksheet focuses on operations with monomials, including multiplication, division, and raising to a power, suitable for Grade 10 Algebra students.
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Monomials Operations
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Read each question carefully and perform the indicated operations with monomials. Simplify your answers completely.
Simplify the following expressions involving multiplication of monomials.
1. (3x²y)(5xy³)
2. (-2a³b²)(4a⁴b)
3. (7m⁵n)(-6m²n²)
Simplify the following expressions involving division of monomials.
4. (12x⁵y²) / (3x²y)
5. (-20a⁷b⁴) / (5a³b²)
6. (18m⁶n³) / (-9m²n³)
Simplify the following expressions involving powers of monomials.
7. (2x³)²
8. (-3a²b⁴)³
9. (5m⁵n²)⁰
10. Which of the following is equivalent to (4x²y³)(2xy⁻¹)?
8x³y²
8x³y⁴
6x³y²
6x³y⁴
Complete the statements below.
11. When multiplying monomials, you the exponents of like bases.
12. Any non-zero base raised to the power of zero is equal to .