Question

Which expression is equivalent to the following?

Answer 1

`(7t^8u^5)/(6v)`Answer:

A

Explanation:

One step at a time!

Your first step will be to find the common denominator with your constants. 35 and 30 are both divisible by 5, so you can simply your fraction to:
`(7t^5u^7v^-^4)/(6t^-^3u^2v^-^3)` This eliminates answers B and D.

Now we can simplify the rest of the variables. The property of exponents in terms of division says that you subtract exponents from each other. So:

Variable t: 5-(-3) = 8

Variable u: 7-2 = 5

Variable v: -4-(-3)= -1

That leaves you with
`(7t^8u^5v^-^1)/(6)`

Since you have a negative exponent up top, you need to simplify it:
`v^-^1 = (1)/(v^(1) )`

So, your answer would be
`(7t^8u^5)/(6v)`