Find the product of the following monomials:

a) (-5x^3y^2)(3x^3y^4)

The product of the monomials (-5x^3y^2) and (3x^3y^4) is -15x^6y^6. This is found by multiplying the coefficients and adding the exponents of like variables. The final answer combines these results.
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Answered by Anonymous | 2025-07-13

To find the product of the given monomials ( − 5 x 3 y 2 ) and ( 3 x 3 y 4 ) , follow these steps:

Multiply the coefficients : The coefficients are the numerical parts of the monomials - − 5 and 3 . Multiply these together: − 5 × 3 = − 15

Multiply the variables with the same base by adding their exponents :

For x : Each monomial has x . Add the exponents: 3 + 3 = 6 , so you have x 6 .
For y : Again, add the exponents for y : 2 + 4 = 6 , so you have y 6 .


Combine the results : Put together the product of the coefficients and the results from the variables: − 15 x 6 y 6


So, the product of the monomials ( − 5 x 3 y 2 ) ( 3 x 3 y 4 ) is − 15 x 6 y 6 .

Answered by LucasMatthewHarris | 2025-07-21