Evaluate radicals

Question

Evaluate:

 

⁴√16 

 

Evaluate:

 

⁵√-32 

Answer 1

⁴√16 = ⁴√2⁴ = 2

 

⁵√-32 = ⁵√(2⁵*(-1)) = ⁵√2⁵* ⁵√(-1)⁵ = -2

 

Note that (-1)⁵ = (-1)*(-1)*(-1)*(-1)*(-1) = -1.  Hence (-1)⁵ = -1