Answer:
[tex]40t^4[/tex]
Step-by-step 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
[tex]\frac{625 \cdot t^4}{1000}[/tex] which simplifies to [tex]\frac{5 \cdot t^4}{8}[/tex].
To get rid of the denominator, we multiply 8/8 to the fraction to get:
[tex]8(5 \cdot t^4)[/tex], which if we distribute the 8 we get: [tex]40t^4[/tex]. Which is our answer!
Hope this helps!
