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Multiplying and Dividing Monomials

MATH QUIZ

MULTIPLYING & DIVIDING MONOMIALS

Master the three rules: Product, Quotient, and Negative Exponent!

Product Rule (Multiplication)

Multiply the coefficients, then ADD the exponents of the same variables.

x³ · x⁴ = x3+4 = x⁷
(2a²)(3a) = 6a2+1 = 6a³
Quotient Rule (Division)

Divide the coefficients, then SUBTRACT the exponents of the same variables.

x⁵x² = x5−2 = x³
12m⁴4m = 3m4−1 = 3m³
Negative Exponent Rule

A negative exponent means the term moves to the denominator and becomes positive.

x⁻² = 1x²
2x⁻³ = 2x³
Quick Examples

Multiply: (4x²)(3x³) → 12x2+3 = 12x⁵

Divide: 20a⁵5a² → 4a5−2 = 4a³

Negative: x⁴x⁷ → x4−7 = x⁻³ = 1x³

Power: (2x³)² → 22x3×2 = 4x⁶

Remember: Same base? Multiply = ADD, Divide = SUBTRACT, Power = MULTIPLY!

Quiz Time!

Read carefully and pick the best answer. You got this!

PART 1Rules & Concepts
1

When multiplying monomials with the same base, what do you do to the exponents?

2

What does x⁴x² equal?

3

What does x⁻³ equal?

4

What happens to the exponents when you raise a power to another power? Example: (x²)³

5

Simplify: y² · y²

PART 2Solve It!
6

Simplify: (3x²)(2x³)

7

Simplify: 24m⁵8m²

8

Simplify: a³a⁷

9

Simplify: (2x³)²

10

Simplify: 8a⁵(2a²)²

Answer all questions first before submitting!
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Made for students who want to master Multiplying & Dividing Monomials

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