apply binomial formula to evalulate (101) power 5
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Answered by
2
Evaluate
Raise
101
to the power of
5
.
10510100501
Answered by
2
(101)^ 5 = (100 + 1)^5
Binomial theorem =
(a+b)^n = a^n + nC1×a^n-1×b + nC2×a^n-2×b^2 + .... + nCn-1×a×b^n-1 + b^n
here a = 100, b = 1
(100+1)^5 = 100^5 + 5 × 100^4 + 10 × 100^3 + 10 × 100^2 + 5 × 100 + 1 = 10510100501
Binomial theorem =
(a+b)^n = a^n + nC1×a^n-1×b + nC2×a^n-2×b^2 + .... + nCn-1×a×b^n-1 + b^n
here a = 100, b = 1
(100+1)^5 = 100^5 + 5 × 100^4 + 10 × 100^3 + 10 × 100^2 + 5 × 100 + 1 = 10510100501
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