Evaluate the problem

Question

(-32)^4/5

 

Evaluate

Answer 1

Naomi, let's think of it this way. Remember that a power to a power means you multiply the two powers. For example, (f⁵)³ = f¹⁵, right?

 

Working backward, (-32)^4/5 = ((-32)^1/5)⁴.

 

What's the fifth root of -32? Something to the fifth power gives us -32. That would be -2. (-2)⁵ = -32.

 

Now, what's (-2)⁴? That would be 16.

 

(-32)^4/5 = 16

 

Hope this helps!