SOLUTION: 1) (20,000)to the 4th power in scientific notation how do you solve it. I know the answer=1.6X10 to the 17th 2) If only interest is paid on a loan of $7800 at 10.6% annual simpl

Algebra ->  Algebra  -> Decimal-numbers -> SOLUTION: 1) (20,000)to the 4th power in scientific notation how do you solve it. I know the answer=1.6X10 to the 17th 2) If only interest is paid on a loan of $7800 at 10.6% annual simpl      Log On

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Question 4927: 1) (20,000)to the 4th power in scientific notation how do you solve it. I know the answer=1.6X10 to the 17th
2) If only interest is paid on a loan of $7800 at 10.6% annual simple interest, to the nearest cent, how much total interst has been paid after 2.5 yrs.

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
20,000 is 2x10^4.
If we raise this number to the power 4, we have %282x10%5E4%29%5E4. Now the beauty of scientific notation is that we can split the numbers and the powers and work on them separately, as 2%5E4x%2810%5E4%29%5E4.

We then get 16 x 10%5E16 which is "corrected" back into scientific notation as 1.6x10%5E17.

jon.