Question

Simplify i^42

simplify i^72

Answer 1

I think the answer for both is -1, it is just like saying i^2, which is equal to = -1

Answer 2

sorry I got it now,

i^42 = i*i*i*i*... 42 times... correct?

now we know that i*i= -1

so how many i*i do we have from the exponent 42?

21 pairs, which means 21 (-1)... correct?

so -1^21= -1 hence, i^42 = -1

Now for 72 we have 36 pairs of i*i, therefore 36 of (-1),

which means (-1)^36 = 1, and hence i^72 = +1

do you get it? let me know if you have any questions! =)