SOLUTION: (4.2X10^3)(1.5X10^6) i need this put into scienific notation and how the steps to doing it?

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Question 233273: (4.2X10^3)(1.5X10^6) i need this put into scienific notation and how the steps to doing it?

Answer by jsmallt9(2063) About Me  (Show Source):
You can put this solution on YOUR website!
(4.2X10^3)(1.5X10^6)
Since the only operation here is multiplication and since multiplication is Commutative and Associative, we can reorder and regroup this as we choose. So I can rewrite this expression in this way:
%28%284.2%29%281.5%29%29%28%2810%5E3%29%2810%5E6%29%29
Now I'll multiply the first pair and the last pair of numbers. On the last pair, I will use the rule for exponents: a%5Ex%2Aa%5Ey+=+a%5E%28x%2By%29
%286.60%29%2810%5E%283%2B6%29%29
which simplifies to
%286.60%29%2810%5E9%29
This is the answer. Most of time scientific notation is written with a little "x" between the two numbers so I'll go ahead and put one in:
6.60 x 10%5E9
Since we have a number between 1 and 10 in front and a power of ten in the back, this is proper scientific notation.