Explain why:
2⁴ = 16.

Well, 2 to the 4th power is just: 2 x 2 x 2 x 2 which when multiplied, you get 16.

Step-by-step explanation:

Say you multiply the first two 2's, you get 4, then you multiply the last two 2's,

You're left with 4x4 which is equal to 16.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i