Find the products:(2/3)x2y × (3/5)xy2

1.	Find the products:(2/3)x2y × (3/5)xy2
Answer» (2/3)x²y × (3/5)xy² 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) × (3/5)] × (x²× x) × (y × y²) = [(2×3)/ (3×5)] × (x²⁺¹) × (y¹⁺²) … [∵ a^m × aⁿ = a^m+n] = [(2×1)/ (1×5)] × (x³) × (y³) = [2/5]x³y³

Answer»

(2/3)x²y × (3/5)xy²

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) × (3/5)] × (x²× x) × (y × y²)

= [(2×3)/ (3×5)] × (x²⁺¹) × (y¹⁺²) … [∵ a^m × aⁿ = a^m+n]

= [(2×1)/ (1×5)] × (x³) × (y³)

= [2/5]x³y³

Discussion