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Need some help please give me a few

User Tsusanka
by
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1 Answer

5 votes

Simplify i^59

Then

i= √(-1)

or

i= (-1)^(1/2)

Then now use rule of exponents

a^b^c = a^( b•c)

So then

i^59 = (-1)^( 1/2)^( 59) =

. = (-1)^ (59/2) = (-1)^( 29 + 1/2)

. = (-1)^ 29 x (-1)^ (1/2)

Then

(-1)^29 = -1

and

(-1)^(1/2) = i

Therefore

i^59 = (-1)•(i) = -i

ANSWER IS THEN

OPTION A) -i

User Prydie
by
4.6k points