SOLUTION: Express 98 as a sum or difference of two numbers whose powers are easier to calculate and then use binomial theorem to compute 98 raised to the power 5.

Question 499297: Express 98 as a sum or difference of two numbers whose powers are easier to
calculate and then use binomial theorem to compute 98 raised to the power 5.
Found 2 solutions by richard1234, chessace:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!

You can finish the calculation.
Answer by chessace(471) (Show Source): You can put this solution on YOUR website!
98^5 = (100-2)^5
= 10^10 - 5*2*10^8 +10*4*10^6 - 10*8*10^4 + 5*16*100 - 32
=10040008000
-01000800032
=09039207968
Not as fast as a modern calculator with enough digits, but most of them do not have enough digits.

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