Worksheet on Multiplying Monomials

Practice the questions given in the worksheet on multiplying monomials (a monomial by a monomial). The questions are based on multiplication of two or more monomials.

1. Fill in the blanks:

(i) 5 × 4 = _____

(ii) 7 × 9 = _____

(iii) 3 × 6 = _____

(iv) 6 × 8 = _____

(v) 2 × 7 = _____

(vi) 9 × 12 = _____

(vii) 3 × 7 = _____

(viii) 8 × 1 = _____

(ix) 9 × 0 = _____

(x) 11 × 4 = _____

and

and

and

and

and

and

and

and

and

and

5a × 4a = _____

7a² × 9a³ = _____

3a × 6b = _____

6am × 8m = _____

2pq × 7pq = _____

9ay² × 12ay = _____

3a³b² × 7a²b⁵ = _____

8a²mn² × a³m²n = _____

9p⁵q⁴ × 0 = _____

11z × 4yz⁷ = _____

2. Find the product of the monomials:

(i) 7x × 8x =

(ii) 3x × 5x × 4 =

(iii) 2xy × 7ay

(iv) a × 4a² × 6a³ =

(v) 9 × 9m² =

(vi) 4 × 4p² × 6p²q² =

(vii) (-5x) × 8x²y =

(viii) (- 7m²n²) × (- 5mn) =

(ix) (-3a) × (-2a²b) × (-8ab²) =

(x) 12abc² × (-2ab²c) × 0 =

3. Find the value of:

(i) 11x⁵ × 3x²

(ii) (-4m²) × 4p²

(iii) 2abc × 8a²c³

(iv) abcd × abc

(v) 6p²q²r² × 2x²y²z²

(vi) 9m³n⁵ × 4m⁵n⁷

(vii) 3a³b³ × (-4a⁵b³)

(viii) 0 × (15x⁴y⁴z²)

(ix) 1 × 17x⁵z²

(x) b⁵c⁴ × m⁴z⁵

4. Find the product of the two monomials:

(i) 4xy and -5xy

(ii) xy⁴ and (-x³y⁴)

(iii) 4ax and 3ay

(iv) 12ab²c and 4ab²

(v) 5mp² and 3mn²p

5. Find the product of the three monomials:

(i) 7ab²c⁵, 4a³b²c² and 2abc²

(ii) xy², 2x²y and xy

(iii) x⁵, y²x⁵ and xyz

(iv) (-b²c), (-2bc) and 10c²b

(v) mn³, m²n⁴ and 5mn

6. Multiply a monomial by a monomial:

(i) 5a by 7

(ii) 4x² by 9

(iii) 12uv by 3

(iv) –pq by 16

(v) 31pxy by 2

(vi) 5x² by (-13x⁴y)

(vii) (-2xy) by (5xy)

(viii) (-7mn²) by (-6m³n⁵)

(ix) 16xyz by 5x²z²

(x) 102a²bc by 0

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Answers for the worksheet on multiplying monomials are given below to check the exact answers of the above multiplication.

Answers:

1. (i) 20, 20a² (ii) 63, 63a⁵

(iii) 18, 18ab

(iv) 48, 48am²

(v) 14, 14p²q²

(vi) 108, 18a²y³

(vii) 21, 21a⁵b⁷

(viii) 8, 8a⁵m³n³

(ix) 0, 0

(x) 44, 44yz⁸

2. (i) 56x²

(ii) 60x²

(iii) 14axy²

(iv) 24a⁶

(v) 81m²

(vi) 96p⁴q²

(vii) -40x³y

(viii) 35m³n³

(ix) -48a⁴b³

(x) 0

3. (i) 33x⁷

(ii) -16m²p²

(iii) 16a³bc⁴

(iv) a²b²c²d

(v) 12p²q²r²x²y²z²

(vi) 36m⁸n¹²

(vii) -12a⁸b⁶

(viii) 0

(ix) 17x⁵z²

(x) b⁵c⁴m⁴z⁵

4. (i) -20x²y²

(ii) -x⁴y⁸

(iii) 12a²xy

(iv) 48a²b⁴c

(v) 15m²n²p³

5. (i) 56a⁵b⁵c⁹

(ii) 2x⁴y⁴

(iii) x¹¹y³z

(iv) 20b⁴c⁴

(v) 5m⁴n⁸

6. (i) 35a

(ii) 36x²

(iii) 36uv

(iv) –16pq

(v) 62pxy

(vi) -65x⁶y

(vii) -10x²y²

(viii) 42m⁴n⁷

(ix) 80x³yz³

(x) 0

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