SOLUTION: ok so im doing scientific notation and the problem is (4.0*10^3)^4iwent 3*4 which gave me 12 then i did 4.0*10 and got 40 so would my answer be (40)^12

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: ok so im doing scientific notation and the problem is (4.0*10^3)^4iwent 3*4 which gave me 12 then i did 4.0*10 and got 40 so would my answer be (40)^12      Log On


   

Question 387235: ok so im doing scientific notation and the problem is (4.0*10^3)^4iwent 3*4 which gave me 12 then i did 4.0*10 and got 40 so would my answer be (40)^12
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The first thing you did was correct, however, you cannot multiply 4 and 10. Why? Because it's not really 10. It's actually 10%5E12



What you need to do is raise 4 to the 4th power to get 4%5E4=256. This is using the idea that %28ab%29%5Ex=a%5Ex%2Ab%5Ex


So %284.0%2A10%5E3%29%5E4=256%2A10%5E12. Now convert 256 into 2.56%2A100=2.56%2A10%5E2 to get





So in the end, %284.0%2A10%5E3%29%5E4=2.56%2A10%5E14