Binomial Theorem:
1n + nC1*1n-1*r + nC2*1n-2*r2+......+nCn-1*1*rn-1 + rn
Or
(1+r)n = 1 + n*r + n(n-1)/2! * r2 + n(n-1)(n-2)/3! * r3 + .......... n(n-1)...(n-k)/k! * rk
if n < 1 as you cannot calculate the combinations that easily. This gives an accurate approximation provided that abs(x) < 1.
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When a number is raised to the power of zero, it always equals 1. This is a fundamental property of exponents in mathematics. So, 8 to the power of zero equals 1.
4+1=5. Plus 4 equals 9. Plus 77685769844446473 equals 77685769844446482. Plus 3 equals 77685769844446485. Plus 8 equals 77685769844446493. Plus 1 equals 77685769844446494. Plus 9870998342523322424 equals 1064785604097768918. Plus 4 equals 1064785604097768922.
no if 1 plus 1 equals 2 then 2 plus 2 equals 4.
When a negative number is raised to an even power, the result is always positive. Therefore, (-1)^4 equals 1. This is because multiplying a negative number by itself an even number of times will always result in a positive value.
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