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) *(-4x^2y)`


`= (-5 * -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)*(-4x^2y).`

We will be using the following property of exponents :

`x^a* x^b=x^(a+b).`

So, the multiplication is as follows :

`P\\\\=(-5xy^2)*(-4x^2y)\\\\=(-5)*(-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.