Question

Simplify. Express your answer using positive exponents.
(7tuv7)(4t3u4v2)

Answer 1

`28t^4u^5v^9`

Explanation:

I will answer this a few different ways depending on whether there are supposed to be exponents in the question.

As written

As written, the product is:

`(7tuv7)(4t3u4v2)`

All of the coefficients can be multiplied together. This is what that looks like:

`4704tuvtuv`

Now, each variable multiplied by itself gets the exponent of 2.

`4707t^2u^2v^2`

Assuming exponents and coefficients

Assuming exponents, the product is:

`(7tuv^7)(4t^3u^4v^2)`

Again, the coefficients can be multiplied, and the like variables written next to each other:

`28tt^3uu^4v^7v^2`

When multiplying like terms with exponents, add the exponents. Variables without an exponent have an exponent of 1.

`28t^4u^5v^9`