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bagirrra123 [75]
3 years ago
11

If Z= 2+2i, what is z^4?

Mathematics
2 answers:
ira [324]3 years ago
8 0

Answer:

D. 64 (cos(pi)+isin(pi))

Step-by-step explanation:

Put 2+2i into trigonometric form, raise the r value to the power of 4, and multiply the angle value (theta) by 4 to get the equation of z^4. In this case, r was 2(sqrt2), which raised to the 4th power was 64. The angle value was pi/4, which multiplied by 4 was pi. That's how we get the answer:

<u>64 (cos(pi)+isin(pi))</u>. How this helps!

Dimas [21]3 years ago
7 0

Answer:

assume z is equal to 5.

log(z^4/5) equals log(5^4/5) equals log(5^3) equals 2.096910013.

4 * log(5) - log(5) equals 2.096910013.

they give you the same answer.

this means they're equivalent.

Step-by-step explanation:

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