Number of ordered pairs(s) (a, b) of real numbers such that `(a+ib)^2008=a-ib` holds good is

If 2^(a)=7^(b) then number of ordered pairs (a,b) of real numbers is

If the number of ordered pairs (a,b) where a,b in R such that (a+ib)^(5015)=(a-ib)^(3) is k , then the unit digit of k is equal to________

If the number of ordered pairs (a,b) where a,b in R such that (a+ib)^(5015)=(a-ib)^(3) is k , then the unit digit of k is equal to________

Express of the complex number in the form a+ib .

Express of the complex number in the form a+ib .

If (x+iy)^((1)/(3))=a+ib where x,y,a,b are real numbers such that (x)/(a)-(y)/(b)=k(a^(2)+b^(2)) then the value of k is

If (a+ib)^(2018)=a- ib then number of real ordered pairs (a,b) that are solution of the given equation is N , then [(N)/(100)] equals

The condition for the cube of a+ib to be a real number is: