let's see what i to one hundredth power is and the realisation here is that 100 is a mutiple of 4, so you could say this is the same thing as i to the, i to the 4 times 25th power and this is the same thing, just from our exponent properties i to the 4th power raised to the 25th power, right, if you have something raised on an exponent and that is raised to an exponent that's the same thing as multiplying the two exponents and we know that i to the 4th, that's pretty straightforward; i to the 4th is just 1, i to the 4th is 1 so this is 1 so this is equal to the 1 to the 25th power which is just equal to, just equal to 1.