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Question 1183522: Calculate: (-2/3*2%)^4*(-3/4*3%)^3*(-4/5*4%)^2*(-5/6*5%)*10^20
I’ve been trying to find a sleek way to solve this problem for a long time, but I can’t think of any other way than to just solve it with brute force. Any help would be appreciated, thank you!
Found 3 solutions by ikleyn, MathLover1, MathTherapy:
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
It looks like you have a great entertainment, isn't it ?
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An alternative way is to edit this calculation line to the simpler format, like this
(-2/3*0.02)^4*(-3/4*0.03)^3*(-4/5*0.04)^2*(-5/6*0.05)*10^20
then go to any of numerous free of charge online calculators (for instance, to online calculator www.desmos.com),
copy/paste this line there and get the answer in one click.
Or, with the same success, you can use an Excel spreadsheet in your computer, if you have this software there.
So, the optimal way depends on several factors: on your goals (on what you want to learn/(to get)
from this exercise), and on the amount of time you have/(you want) to spend for this exercise.
From my school years, I remember calculations with four-store fractions.
We did it enthusiastically by hands, never used computers or calculators and never asked other people for help from outside . . .
If such simple task is given to YOU, it means that YOU and NOBODY ELSE should do it
from the beginning to the end, without re-loading it to the shoulders of other people.
The meaning of teaching and the meaning of learning lie in this simple truth.
Answer by MathLover1(20850)  (Show Source):
Answer by MathTherapy(10556)  (Show Source):
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