Find the products:(2a2b3) × (-3a3b)

1.	Find the products:(2a2b3) × (-3a3b)
Answer» (2a²b³) × (-3a³b) The coefficient of the product of two monomials is equal to the product of their coefficients. The variable part in the product of two monomials is equal to the product of the variables in the given monomials. Then, = (2 × -3) × (a²× a³) × (b³ × b) = (-6) × (a²⁺³) × (b³⁺¹) … [∵ a^m × aⁿ = a^m+n] = (-6) × (a⁵) × (b⁴) = -6a⁵b⁴

Answer»

(2a²b³) × (-3a³b)

The coefficient of the product of two monomials is equal to the product of their coefficients.

The variable part in the product of two monomials is equal to the product of the variables in the given monomials.

Then,

= (2 × -3) × (a²× a³) × (b³ × b)

= (-6) × (a²⁺³) × (b³⁺¹) … [∵ a^m × aⁿ = a^m+n]

= (-6) × (a⁵) × (b⁴)

= -6a⁵b⁴

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