Find the products:(-3/4)ab3 × (-2/3)a2b4

1.	Find the products:(-3/4)ab3 × (-2/3)a2b4
Answer» (-3/4)ab³ × (-2/3)a²b⁴ 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, = [(-3/4) × (-2/3)] × (a × a²) × (b³ × b⁴) = [(-3×-2)/ (4×3)] × (a¹⁺²) × (b³⁺⁴) … [∵ a^m × aⁿ = a^m+n] = [(-1×-1)/ (2×1)] × (a³) × (b⁷) = [1/2]a³b⁷

Answer»

(-3/4)ab³ × (-2/3)a²b⁴

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,

= [(-3/4) × (-2/3)] × (a × a²) × (b³ × b⁴)

= [(-3×-2)/ (4×3)] × (a¹⁺²) × (b³⁺⁴) … [∵ a^m × aⁿ = a^m+n]

= [(-1×-1)/ (2×1)] × (a³) × (b⁷)

= [1/2]a³b⁷

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