How do you simplify i18?

2 Answers

It is i18=(i2)9=(1)9=1

Assuming that i is the imaginary unit with i2=1

Nov 14, 2015

i18=1

Explanation:

Consider the following:

a2×a3=a×a×a×a×a=a5=a2+3

Now look at your question:

i18=i2+16=i2×i16

i=1 so i2=1

i16 is 8 lots of i2 multiplied together.

An even number of negatives multiplied together yields a positive number so:

i16=+1

But we have

i2×i16=(1)×(+1)=1

So i18=1