How to calculate X^n using normal calculator

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Kandarp Dudhoria

CA in Practise

55 Points Posted on 01 November 2010

Useful for SFM MAFA and other subjects

Hey Friends ever wondered how to find out the answer for xⁿ (base "x" to the power of "n")

For e.g. did crack down your head to know the answer for something like this

2.71828^0.06 (xⁿ) using a calculator allowed in the CA/CWA/CS examination hall

Let me tell you the way out

Step i) put down the base (2.71828) in your calculator and now press the √ (Square root) key 12 times.

(in our e.g. you will get 1.00024417026)

Step ii) now subtract 1 from the number as per step (ii).

(In our example 1.00024417026 -1=0.00024417026)

Step iii) now multiply the number as per step (ii) with the power 'n'(in our e.g. 0.06)

(0.00024417026 X 0.06 = 0.00001465021)

Step iv) now add back one to the number as per step (iii).

(0.00001465021+1=1.00001465021)

Step v) now the final step press "X=" keys('Multiplication' and 'Equal To' keys one after the other) 12 times and that’s the answer.

(1.00001465021 X= X= X= X= X= X= X= X= X= X= X= X= you will get 1.06184 and that's the answer)

Practice it a few times and thats it; it is surely gonna save some of your time in the examination hall (that is wasted in searching for the answer in tables)

For any clarification pls post down your query...

Replies (22)

Quick Summary

Explains a shortcut to calculate x^n using a normal calculator by repeated square roots, adjustments, and multiplication. Useful for exams without scientific calculators, providing approximate results for exponential calculations.

Vipin Kumar Garg

Ca Final Student

60 Points Posted on 01 November 2010

thank for providing this method

but que. is why r u using 12 time .hw is it come.

Kandarp Dudhoria

CA in Practise

55 Points Posted on 01 November 2010

U could do it using 10, 11, 13, 14 or so........times also bt 12 gives an approximately correct answer.

sahis

CA Final BBA

109 Points Posted on 04 November 2010

good job. thanks

kishore

business

22 Points Posted on 06 November 2010

Originally posted by : Kandarp Dudhoria
	Useful for SFM MAFA and other subjects Hey Friends ever wondered how to find out the answer for xn (base "x" to the power of "n") For e.g. did crack down your head to know the answer for something like this 2.718280.06 (xn) using a calculator allowed in the CA/CWA/CS examination hall Let me tell you the way out Step i) put down the base (2.71828) in your calculator and now press the √ (Square root) key 12 times. (in our e.g. you will get 1.00024417026) Step ii) now subtract 1 from the number as per step (ii). (In our example 1.00024417026 -1=0.00024417026) Step iii) now multiply the number as per step (ii) with the power 'n'(in our e.g. 0.06) (0.00024417026 X 0.06 = 0.00001465021) Step iv) now add back one to the number as per step (iii). (0.00001465021+1=1.00001465021) Step v) now the final step press "X=" keys('Multiplication' and 'Equal To' keys one after the other) 12 times and that’s the answer. (1.00001465021 X= X= X= X= X= X= X= X= X= X= X= X= you will get 1.06184 and that's the answer) Practice it a few times and thats it; it is surely gonna save some of your time in the examination hall (that is wasted in searching for the answer in tables) For any clarification pls post down your query...