fractional part of `2^(78) /31` is:

The fractional part of = (2^(4n))/15 is

if f(x) ={x^(2)} , where {x} denotes the fractional part of x , then

Let R=(5sqrt(5)+11)^(31)=1+f, where I is an integer and f is the fractional part of R then Rf is equal to

If {x} denotes fractional part of x then {(2^(2003))/(17)} is

If I is integral part of (2+sqrt(3))^(n) and f is its fractional part.Then (I+f)(1-f) is:

Explain fractional part of x with graph.

Let x=(3sqrt(6)+7)^(89) . If {x} denotes the fractional part of 'x' then find the remainder when x{x}+(x{x})^(2)+(x{x})^(3) is divided by 31.

If the fractional part of the number (2^(403))/(15) is (k)/(15) then k is equal to

If the fractional part of the number (2^(403))/(15) is (k)/(15) then k is equal to