Answered

The coefficient of the product of (-5xy2) and (-4x2y) is

. The exponent of x in the product is

, and the exponent of y is

.

Verified Answer :

HomertheGenius

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.

Answer:

The coefficient of product=20

The exponent of x=3

The exponent of y=3

Step-by-step 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

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

Combining like terms

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

\(As, x^a\times x^b=x^{a+b}\)

\(20\times x^{1+2}\times y^{2+1}\)

\(20x^3y^3\)

which is the required product.

The coefficient of product=20

The exponent of x=3

The exponent of y=3

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