Answer:
-1
Step-by-step explanation:
i is √-1
i^2 is -1
i^3 is -i
i^4 is 1
This cycle repeats itself every 4 powers
so i^6 is -1
Hi!
Square roots where the things under the root are multiplied (for example
) can be split up into
.
That's what I'm going to do in this case. I'm going to split
into ![\sqrt[3]{125} * \sqrt[3]{x^{12}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%2A%20%5Csqrt%5B3%5D%7Bx%5E%7B12%7D%7D%20%20%20%20)
Now, the cube root of 125 is 5, because 5 * 5 * 5 = 125, and that is the definition of a cube root. (What multiplied 3 times by itself is equal to what's under the root)
Now to look at what the cube root of
is.
A cube root can be rewritten as
, same as a square root can be rewritten to
.
So if you take the cube root of x^12, you can change it to:
![(x^{12} )^{1/3}](https://tex.z-dn.net/?f=%20%28x%5E%7B12%7D%20%29%5E%7B1%2F3%7D%20%20)
If you have a case like this, then you can multiply the two powers (in this case 12 and 1/3) to simplify it. 12 * 1/3 = 4, so you get x^4.
Now putting the two together, you get:
5
as your answer.
Hope this helped!
Answer:
battery is the answer
Step-by-step explanation: