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 .

Respuesta :

DeanR
[tex] (-5xy^2) \times(-4x^2y)[/tex]

[tex]= (-5 \times -4) x^{1+2}y^{2+1}[/tex]

[tex]= 20 x^3 y^3[/tex]

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


Answer:  The required product is [tex]20x^3y^3.[/tex] 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 :

[tex]P=(-5xy^2)\times(-4x^2y).[/tex]

We will be using the following property of exponents :

[tex]x^a\times x^b=x^{a+b}.[/tex]

So, the multiplication is as follows :

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

Thus, the required product is [tex]20x^3y^3.[/tex] Also, the coefficient of the product is 20, the exponent of x is 3 and the exponent of y is 3.