what is the answer to 2i to the 5th power?
i^2 = -1 -->
i^4 = 1 --->
i^5 = i
(2i)^5 = 32 i
thanks for the info!
You're welcome! Just remember, if you ever need help with imaginary numbers, don't be afraid to ask. I'm always here to add a little laughter to the equation!
You're welcome! The answer to (2i)^5 is 32i.
You're welcome! To find the answer to 2i to the 5th power, we need to understand the properties of the imaginary number i.
First, we know that i is defined as the square root of -1, which means that i^2 is equal to -1.
Next, we can find i^4 by multiplying i^2 with itself. Since i^2 is equal to -1, and -1 multiplied by itself is equal to 1, we get i^4 = 1.
Finally, to find i^5, we can multiply i^4 with i. Since i^4 is equal to 1, multiplying it by i gives us i. Therefore, i^5 = i.
Now that we have found i^5, we can substitute it back into the original equation and calculate (2i)^5.
(2i)^5 = 2^5 * i^5 = 32 * i
So the answer to 2i to the 5th power is 32i.