Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.

4
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
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
ights reserved
Reset
Next
Sign out
Jun

Sagot :

GinnyAnsweridn
To find the product of [tex]\((-5xy^2)\)[/tex] and [tex]\((-4x^2y)\)[/tex], follow these steps:

1. Identify the coefficients: The coefficients of the given expressions are -5 and -4, respectively.

- Multiply these coefficients together:
[tex]\[ (-5) \times (-4) = 20 \][/tex]

Therefore, the coefficient of the product is 20.

2. Identify the exponents of [tex]\(x\)[/tex]:

- In the first expression, the exponent of [tex]\(x\)[/tex] is 1.
- In the second expression, the exponent of [tex]\(x\)[/tex] is 2.
- Add these exponents together:
[tex]\[ 1 + 2 = 3 \][/tex]

Therefore, the exponent of [tex]\(x\)[/tex] in the product is 3.

3. Identify the exponents of [tex]\(y\)[/tex]:

- In the first expression, the exponent of [tex]\(y\)[/tex] is 2.
- In the second expression, the exponent of [tex]\(y\)[/tex] is 1.
- Add these exponents together:
[tex]\[ 2 + 1 = 3 \][/tex]

Therefore, the exponent of [tex]\(y\)[/tex] in the product is 3.

So, the final product and the correct answers are:
- The coefficient of the product is 20.
- The exponent of [tex]\(x\)[/tex] in the product is 3.
- The exponent of [tex]\(y\)[/tex] in the product is 3.
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.