Vedic Math - Fourth Power of 2 Digit Numbers

We discussed the cube of 2-digit number in previous article. In this article, we shall describe the fourth power of 2-digit numbers using the same formula.

The Algebraic Expression of (a + b)4

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3+ b4

We can rewrite the above equation as:
a4       a3b          a2b2           ab3        b4
3a3b        5a2b2          3ab3
So, apply the same rule which we applied in previous article, while finding cubic of the number. Consider the first term as a4 and the remaining terms get multiplied by b/a with the previous term.
The Difference comes in second row, in fourth power, we multiply 2nd and 4th term by 3 and 3rd term by 5.

Example: 114

1    1    1    1    1
3    5    3
-------------------------
1    4    6    4    1
-------------------------

Example: 324

81     54      36     24     16
162    180     72
-------------------------------------
104      8       5        7       6
-------------------------------------

The "Binomial Theorem" is thus capable of practical application more comprehensively in Vedic Math. Here it is been utilised for splendid purpose as described above, with Vedic Sutras.

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