SOLUTION: the value of 36^24/24^36 on simplification is .....

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Question 892764: the value of 36^24/24^36 on simplification is .....
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
36 has factors of 2's and 3's;
24 has factors of 2's and 3's.

%28%28%282%2A3%29%5E2%29%5E24%29%2F%282%2A2%2A2%2A3%29%5E36

%28%282%5E2%2A3%5E2%29%5E24%29%2F%282%5E3%2A3%29%5E36

%282%5E64%2A3%5E64%29%2F%282%5E108%2A3%5E36%29

%281%2F2%5E44%29%283%5E28%29

highlight%28%283%5E28%29%2F2%5E44%29

Computed and staying as a rational number (with help of calculator),
highlight%2822876792454961%2F17592186044416%29.

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

the value of 36^24/24^36 on simplification is .....


36%5E24%2F24%5E36 simplifies to highlight_green%28highlight_green%283%5E12%2F2%5E60%29%29.

Using a calculator or excel, you should get: highlight_green%284.60952+%2A+10%5E-13%29