Question

Please explain step by step....

Evaluate.
(-16)^1/4
I don't get how the answer is 2√i.

Answer 1

√(-16) = √(16 * -1) = √16√-1 = 4√-1 = 4i
∜-16 = √√-16 = √4i = √4√i = 2√i

Answer 2

(-16)^(1/4)
=((-16)^(1/2))^(1/2) using rules of exponents
=√√(-16)
=√(4i)
=√(2²i)
=2√(i)