SOLUTION: I need help. Calculate. (5 * 10^4)^2 Write answer in scientific notation.

Algebra ->  Decimal-numbers -> SOLUTION: I need help. Calculate. (5 * 10^4)^2 Write answer in scientific notation.      Log On


   

Question 187677: I need help.
Calculate.
(5 * 10^4)^2
Write 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.
(5 * 10^4)^2
Write answer in scientific notation.
-------------------
= 5^2 * 10^8
= 25*10^8
= 2.5x10^9
================
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285+%2A+10%5E4%29%5E2 Start with the given expression.


%285%5E1+%2A+10%5E4%29%5E2 Rewrite 5 as 5%5E1


5%5E%281%2A2%29+%2A+10%5E%284%2A2%29 Multiply the outer exponent by EVERY exponent inside the parenthesis.


5%5E2+%2A+10%5E8 Multiply the exponents.


25+%2A+10%5E8 Square 5 to get 25


2.5%2A10%5E1+%2A+10%5E8 Factor 25 into 2.5%2A10%5E1 (ie convert 25 to scientific notation)


2.5%2A10%5E%281%2B8%29 Multiply 10%5E1 and 10%5E8 by adding the exponents.


2.5%2A10%5E9 Add


So %285+%2A+10%5E4%29%5E2=2.5%2A10%5E9