SOLUTION: The value of 28^983 x 98^984 ÷ 14^2948

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Question 1131644: The value of 28^983 x 98^984 ÷ 14^2948
Found 3 solutions by MathLover1, MathTherapy, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%2828%5E983+%2A98%5E984%29+%2F+14%5E2948+
first try to simplify:

since 98%2A98%5E983, we have

=28%5E983+%2A98%5E983%2A98=98%2A2744%5E983

=%2898%2A2744%5E983%29%2F+14%5E2948+

=%2898%2A2744%5E983%29%2F+14%5E2948+.....2744=14%5E3=>2744%5E%282948%2F3%29

=%2898%2A2744%5E983%29%2F+2744%5E%282948%2F3%29+

=98%2A2744%5E%28%28983-2948%2F3%29%29+

=98%2A2744%5E%28%28983%2A3-2948%29%2F3%29+

=98%2A2744%5E%28%282949-2948%29%2F3%29+


=98%2A2744%5E%281%2F3%29+

=98%2Aroot%283%2C2744%29

=98%2Aroot%283%2C14%5E3%29

=98%2A14

=1372




Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The value of 28^983 x 98^984 ÷ 14^2948
28%5E983+%2A+98%5E984%2F14%5E%222%2C948%22

%28%2814+%2A+2%29%5E983+%2A+%287+%2A+14%29%5E984%29%2F14%5E%222%2C948%22

%2814%5E983+%2A+2%5E983+%2A+7%5E984+%2A+14%5E984%29%2F14%5E%222%2C948%22

%2814%5E983+%2A+%282%5E983+%2A+7%5E984%29+%2A+14%5E984%29%2F14%5E%222%2C948%22

%2814%5E983+%2A+%282%5E983+%2A+7%5E983+%2A+7%5E1%29+%2A+14%5E984%29%2F14%5E%222%2C948%22 

%2814%5E983+%2A+%282%5E983+%2A+7%5E983%29+%2A+7%5E1+%2A+14%5E984%29%2F14%5E%222%2C948%22

%2814%5E983+%2A+%282+%2A+7%29%5E983+%2A+7+%2A+14%5E984%29%2F14%5E%222%2C948%22

%2814%5E983+%2A+14%5E983+%2A+7+%2A+14%5E984%29%2F14%5E%222%2C948%22

%287+%2A+14%5E983+%2A+14%5E983+%2A+14%5E984%29%2F14%5E%222%2C948%22 

%287+%2A+14%5E%28983+%2B+983+%2B+984%29%29%2F14%5E%222%2C948%22

%287+%2A+14%5E%222%2C950%22%29%2F14%5E%222%2C948%22 =====> 7+%2A+14%5E%28%222%2C950%22+-+%222%2C948%22%29 ======>

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Obviously there are many paths to simplifying this expression....

Observing that the 2946 is 3 times 982, I would do this first:



Simplifying this gives