Question

Step by step explanation pls (30 points!)

Answer 1

`40t^4`

Explanation:

I'm guessing you have to simplify the expression so...

first, on the top of the fraction there is a 5^2 which is just 25. 25*25 = 625, so the top of the fraction bar changes to 625 * t^8

The denominator is 10^3 = 1000. this changes it to 1000 * t^4

The hard part now is to simplify this. t^8 is just t*t*t*t*t*t*t*t. similarly t^4 is just t*t*t*t

Since there are 4 t's in both the numerator and denominator, this cancels it out and changes this to

`(625 \cdot t^4)/(1000)` which simplifies to
`(5 \cdot t^4)/(8)`.

To get rid of the denominator, we multiply 8/8 to the fraction to get:

`8(5 \cdot t^4)`, which if we distribute the 8 we get:
`40t^4`. Which is our answer!

Hope this helps!