Ask
your own question, for FREE!

Mathematics

OpenStudy (anonymous):

i^38 written in the standard form a+bi?

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

\[i^{38} = -1\]

OpenStudy (anonymous):

i,-1,-i,1

OpenStudy (anonymous):

this cycle

OpenStudy (anonymous):

I need an expression written in the a+bi form of i^38

OpenStudy (anonymous):

\[-1 + 0 \times i\]

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

thanks I'll try that

OpenStudy (anonymous):

sure : )

OpenStudy (anonymous):

ok -1 worked, using mathXL and don't like it

OpenStudy (anonymous):

\[i^2 = -1\]\[\large \implies i^4 = i^2\cdot i^2 = (-1)(-1) = 1\]\[\large \implies i^{38} = \left(i^4\right)^9\cdot i^2 = 1^9(-1) = 1(-1) = -1\]

OpenStudy (anonymous):

or think like this:4 goes in to 38 leaves a remainder of 2. so \[I^{38}=i^2=-1\] standard form is \[-1+0i\]

Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!

Join our real-time social learning platform and learn together with your friends!

Latest Questions

ShelbiLW:
A 3.0 m uniform beam of mass 15 kg is pivoted 1.0 m from the end as shown below. A 35 kg child sits 0.

5 hours ago
0 Replies
0 Medals

ryleighmullins22:
Answer the question below using the following amortization table. Month Principal Paid Interest Paid Balance 21 $654.

5 hours ago
0 Replies
0 Medals

Rx1nyDxyz:
Help If the supply of a product increases, then the price decreases*** the price

7 hours ago
21 Replies
1 Medal

shototodorokii:
(not from a test/quiz)Nomenclature is governed by certain universal rules. Which

7 hours ago
0 Replies
0 Medals

ajfknkjfa:
Prove that the two circles shown below are similar. (10 points) Circle C is shown with a center at negative 3, 1 and a radius of 4.

8 hours ago
3 Replies
1 Medal