How we find x^(p/q)

@hussanal-faroke-U5nNM8 • Oct 22, 2024

Oct 22, 2024

948

Any one know how we can find (P/Q)th power of x or how we can find
x^ (p/q) 😒

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Manish Goyal

@manish-r2Hoep • Dec 23, 2009

let x^(p/q)=y
take log on both sides
log x^(p/q)=log(y)
(p/q)*log(x)=logy
antilog((p/q)*log(x))=y
I think you want to create a program for this because such values can easily be calculated using scientific calculator
Am i right?
Saandeep Sreerambatla

@saandeep-sreerambatla-hWHU1M • Dec 23, 2009

You can directly calculate provided the powers are in calculatable range.

If not you can follow the logarithms and log tables.

where you will be able to get the details.

scientific calculator can be used , you can get the values easily.
Hussanal Faroke

@hussanal-faroke-U5nNM8 • Dec 23, 2009

i want the result without using logarithm!
Manish Goyal

@manish-r2Hoep • Dec 24, 2009

You can also calculate it manually
you can write
x^(p/q)=(x^(1/q))^p
say you want to calculate
27^(2/3)
then you can get the result.,by writing like this
(27^(1/3))^2)

Now i hope you know how to calculate
27^(1/3)
Hussanal Faroke

@hussanal-faroke-U5nNM8 • Dec 25, 2009

Thanks for all CEans they try to help me, i got an idea with Newton Raphson method, and now i am able to do!