SOLUTION: use ln key on calculator to express each number as a power. then use the rules of exponents to find the answer. (0.000612)(576) ________________ 0.0512 X 10 -14 the top t

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: use ln key on calculator to express each number as a power. then use the rules of exponents to find the answer. (0.000612)(576) ________________ 0.0512 X 10 -14 the top t      Log On

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Question 10739: use ln key on calculator to express each number as a power. then use the rules of exponents to find the answer.
(0.000612)(576)
________________
0.0512 X 10 -14
the top two numbers multiplied, then divided by bottom decimal number times ten to the negative fourteenth power.
tried:
0.000612 = e to the negative 7.40
576 = e to the 6.36
0.0512 = e to the negative 2.97 times 10 to the negative power of 14
add exponents together -7.40 + 6.36 +2.97 = e to the 1.93 times ten to the 14th.
on calculator, 1.93 inverse ln = 6.89
so answer is e to the 6.89 times 10 to the power of 14.

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
Converting the numbers to powers of e doesn't make any sense to me... if anything, convert them to powers of 10, then you can combine all 4 numbers together.

%28%280.000612%29%28576%29%29%2F%280.0512x10%5E%28-14%29%29

%28%2810%29%5E%28-3.21325%29%2810%29%5E%282.76042%29%29%2F%2810%5E%28-1.29073%29%2810%29%5E%28-14%29%29
%28%2810%29%5E%28-3.21325%29%2810%29%5E%282.76042%29%29%2F%2810%5E%28-1.29073%29%2810%29%5E%28-14%29%29
%28%2810%29%5E%28-0.45283%29%29%2F%2810%5E%28-15.29073%29%29
%2810%29%5E%2814.8379%29
--> 6.8849x10^14

Working out the real answer on my calculator gives an answer of 6.885x10^14, so pretty good!

jon.