Question

PLEASE HELP ME WITH THIS QUESTION ITS URGENT!!!

Simplify. Your answer should contain only positive exponents.

Answer 1

Start by distributing the exponent to each of the terms in
`(2u)^(3)`. This will become
`2^(3) u^(3)`, and
`2^(3) =8`. Now, the expression is:

`(2u^(3) v^(2) )/(8u^(3) * u^(2) )`.

We can now simplify the bottom to read:
`8u^(5)` because when multiplying variables raised to an exponent, we add the exponents. The expression now looks like:

`(2u^(3) v^(2) )/(8u^(5) )`

The 2/8 simplifies to 1/4:

`(u^(3) v^(2) )/(4u^(5) )`

Now, we have two u terms on the top and bottom. When dividing variables raised to an exponent, we subtract the exponents. However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent. The final answer is:

`(v^(2) )/(4u^(2) )`

Hope this makes sense!!