Question

Find the product. The coefficient of the product of (-5xy2) and (-4x2y) is . The exponent of x in the product is , and the exponent of y is .

Answer 1

$(-5xy^2) \times(-4x^2y)$

$= (-5 \times -4) x^{1+2}y^{2+1}$

$= 20 x^3 y^3$

Coefficient 20, exponent of x is 3, exponent of y is 3

Answer 2

Answer:  The required product is $20x^3y^3.$ Also, the coefficient of the product is 20, the exponent of x is 3 and the exponent of y is 3.

Step-by-step explanation:  We are given to find the following product :

$P=(-5xy^2)\times(-4x^2y).$

We will be using the following property of exponents :

$x^a\times x^b=x^{a+b}.$

So, the multiplication is as follows :

$P\\\\=(-5xy^2)\times(-4x^2y)\\\\=(-5)\times(-4)x^{1+2}y^{2+1}\\\\=20x^3y^3.$

Thus, the required product is $20x^3y^3.$ Also, the coefficient of the product is 20, the exponent of x is 3 and the exponent of y is 3.