how to calculate the value of 70raise to power 1/3?
 

Asked by vasturushi | 30th Oct, 2017, 08:47: PM

Expert Answer:

begin mathsize 16px style To space find space 70 to the power of 1 third end exponent space we space will space use space approximation space formula.
straight f left parenthesis straight a plus straight h right parenthesis almost equal to straight f left parenthesis straight a right parenthesis plus hf space apostrophe left parenthesis straight a right parenthesis
Here comma space we space will space split space 70 space equals space 64 space plus space 6
straight a space equals space 64 space and space straight h space equals space 6
straight f left parenthesis straight x right parenthesis space equals space straight x to the power of 1 third end exponent
straight f left parenthesis 64 right parenthesis space equals space 64 to the power of 1 third end exponent space equals space 4
straight f space apostrophe left parenthesis straight x right parenthesis space equals 1 third straight x to the power of fraction numerator negative 2 over denominator 3 end fraction end exponent
straight f space apostrophe left parenthesis 4 right parenthesis space equals 1 third open parentheses 4 close parentheses to the power of blank to the power of fraction numerator negative 2 over denominator 3 end fraction end exponent end exponent
straight f space apostrophe left parenthesis 4 right parenthesis space equals 1 third cross times 1 over 16 equals 1 over 48
Put space it space in space the space straight f left parenthesis straight a plus straight h right parenthesis almost equal to straight f left parenthesis straight a right parenthesis plus hf space apostrophe left parenthesis straight a right parenthesis
you space will space get space the space answer space 4.125.

space
end style

Answered by Sneha shidid | 31st Oct, 2017, 05:39: PM