Multiply a monomial by a monomial.(i) 6x, 4(ii) -3x, 7y(iii) -2m2, (-5

1.	Multiply a monomial by a monomial.(i) 6x, 4(ii) -3x, 7y(iii) -2m2, (-5m)3(iv) a3, – 4a2b(v) 2p2q3, -9pq2
Answer» (i) 6x × 4 = (6 × 4) (x) = 24x (ii) -3x × 7y = (-3 × 7) (x × y) = -21xy (iii) (-2m²) × (-5m)³ = -2m² × (-)³ (5³ (m)³) = -2m² × (-125m³) = (-) × (-)(2 × 125)(m² × m³) = + 250 m⁵ = 250 m⁵ (iv) a³ × (-4a² b) = (-4) × (a³ × a²) × (b) = -4a⁵b (v) (2p²q³) × (-9pq²) = (+) × (-) × (2 × 9) (p² × p(q³ × q²)) = -18p³q⁵

Multiply a monomial by a monomial.(i) 6x, 4(ii) -3x, 7y(iii) -2m2, (-5m)3(iv) a3, – 4a2b(v) 2p2q3, -9pq2

Answer»

(i) 6x × 4

= (6 × 4) (x)

= 24x

(ii) -3x × 7y

= (-3 × 7) (x × y)

= -21xy

(iii) (-2m²) × (-5m)³

= -2m² × (-)³ (5³ (m)³)

= -2m² × (-125m³)

= (-) × (-)(2 × 125)(m² × m³)

= + 250 m⁵

= 250 m⁵

(iv) a³ × (-4a² b)

= (-4) × (a³ × a²) × (b)

= -4a⁵b

(v) (2p²q³) × (-9pq²)

= (+) × (-) × (2 × 9) (p² × p(q³ × q²))

= -18p³q⁵