The coefficient of the product of (-5xy^2) and (-4x^2y) is ______.

The exponent of x in the product is _____ , and the exponent of y is _____

Verified Answer :

The coefficient of the product of (-5xy²) and (-4x²y) is 20.

The exponent of x in the product is 3, and the exponent of y is 3.

From the question,

We are to determine the product of (-5xy²) and (-4x²y)

The product of (-5xy²) and (-4x²y) can be determined as shown below

-5xy² × -4x²y

This becomes

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

Then, we get

\(20\times x^{3} \times y^{3}\)

\(20x^{3} y^{3}\)

The product of the given expressions is \(20x^{3} y^{3}\)

Hence, The coefficient of the product is 20. The exponent of x in the product is 3 and the exponent of y is 3

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