Question

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

The coefficient of product=20

The exponent of x=3

The exponent of y=3

Explanation:

`\text{Given the two terms }(-5xy^2)\text{ and }(-4x^2y)`

we have to find the coefficient of product of above two terms and also the exponent of x and y in the product.

First we have to find the product of given terms

The product is

`(-5xy^2)* (-4x^2y)`

Combining like terms

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

`As, x^a* x^b=x^(a+b)`

`20* x^(1+2)* y^(2+1)`

`20x^3y^3`

which is the required product.

The coefficient of product=20

The exponent of x=3

The exponent of y=3

Answer 2

The product is: 20 x³ y³.
The coefficient of the product is 20.
The exponent of x in the product is : 3
The exponent of y in the product is : 3.