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2. Body .
To solve the exponential function f(x)=mx, the most common method of calculating exponential functions has been to directly multiply m, x number of times. This method of calculation is extremely slow especially if the exponent has a large value. For, example calculating
f(x) = 35123000 involves multiplying 35, 123,000 times. This is an extremely difficult task and is frankly almost impossible if calculated manually. Computers are best suited to calculate this function because computers do not get tired of performing repetitive tasks. However, there is a need to come up with a more efficient way of calculating the exponential function. This is important because exponential functions are very important in mathematics and engineering fields.
This paper introduces a new, novel method of calculating the exponential function. This method is extremely efficient and it uses the 2n sequence at its foundation. One can solve the exponential function quicker if one uses the 2n table. A sample of the table will be displayed towards the end of the paper.
I have decided to call this method the Ngazi method. Ngazi is a swahili word for ladder or stairs. Ngazi is a two syllable word which is pronounced as (nga-zi) where /n/ and /g/ are pronounced as one syllable.[5] I named this method ngazi or stairs because the results of the first multiplication are used in the second multiplication and the results of the second multiplication are used in the third multiplication and so on. Therefore the first multiplication is linked to the second multiplication and the second multiplication is linked to the third multiplication and this reminds the author of a flight of stairs where one stair leads to the next stair up to the final stair.