Question

after how many places of decimals will the expansion of 23457/2 power 3.5 power 4 terminate

Answer 1

Places of decimal after which this terminates is decided on degree of denominator

{(2)^3.5}^4= (2)^(3.5x4)= (2)^14

Therefore after 14decimal places,,,this expansion will terminate


or i guess question is

23457/{2^3 x 5^4}

and in this case
termination will occur after 4 decimal places


as denominator will be of form
(2x5)^3 x (5)= 10^3 x 5

23457/{10^3 x 5}
multiplying and dividing by 2

23457x2/{10^3 x5x2}
= 23457x2/ 10^4

therefore after 4decimal places it will be terminated

Answer 2

hey dear friend!!!

your answer is "4 places of decimal "
...

hope it will help you..