SOLUTION: Calculate. (3*10^-6)^4 Write your answer in scientific notation.

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Question 273277: Calculate.
(3*10^-6)^4

Write your answer in scientific notation.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate.
(3*10^-6)^4
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= 81*10^-24
Divide the 81 by 10 and multiply the 10^-24 by 10 to get:
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= 8.1*10^-23
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2A10%5E-6%29%5E4 Start with the given expression.


%283%29%5E4%2A%2810%5E-6%29%5E4 Break up the expression


81%2A%2810%5E-6%29%5E4 Raise 3 to the 4th power to get 81.


81%2A10%5E%28-24%29 Multiply the exponents.


%288.1%2A10%5E1%29%2A10%5E%28-24%29 Convert 81 into scientific notation.


8.1%2A%2810%5E1%2A10%5E%28-24%29%29 Regroup terms.


8.1%2A10%5E%281-24%29 Add the exponents on the common terms to multiply.


8.1%2A10%5E%28-23%29 Subtract


So %283%2A10%5E-6%29%5E4=8.1%2A10%5E%28-23%29