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Step by step explanation pls (30 points!)

Step by step explanation pls (30 points!)-example-1
User L Martin
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1 Answer

23 votes
23 votes

Answer:


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!

User Prettygeek
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