Question

Multiply the following monomials

(i) xy, x²y, xy, x
(ii) m, n, mn, m³n, mn³
(iii) kl, lm, km, klm

Answer 1

(i) xy, x²y, xy, x

xy × x²y × xy × x
= x × y × x × x × y × x × y × x
= x × x × x × x × x × y × y × y
= x⁵ × y³
= x⁵y³

(ii) m, n, mn, m³n, mn³

m × n × mn × m³n × mn³

= m × n × m × n × m × m × m × n ×m × n × n × n
= m × m × m × m × m × m × n × n × n × n × n × n
= m⁶ × n⁶
= m⁶n⁶

(iii) kl, lm, km, klm

kl × lm × km × klm

= k × l × l × m × k × m × k × l × m
= k × k × k × l × l × l × m × m × m
= k³ × l³ × m³
= k³l³ × m³
= k³l³m³