Find the products:(-3/14)xy4 × (7/6)x3y

1.	Find the products:(-3/14)xy4 × (7/6)x3y
Answer» (-3/14)xy⁴ × (7/6)x³y 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, = [(-3/14) × (7/6)] × (x × x³) × (y⁴ × y) = [(-3×7)/ (14×6)] × (x¹⁺³) × (y⁴⁺¹) … [∵ a^m × aⁿ = a^m+n] = [(-1×1)/ (2×2)] × (x⁴) × (y⁵) = (-1/4)x⁴y⁵

Answer»

(-3/14)xy⁴ × (7/6)x³y

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,

= [(-3/14) × (7/6)] × (x × x³) × (y⁴ × y)

= [(-3×7)/ (14×6)] × (x¹⁺³) × (y⁴⁺¹) … [∵ a^m × aⁿ = a^m+n]

= [(-1×1)/ (2×2)] × (x⁴) × (y⁵)

= (-1/4)x⁴y⁵

Discussion