Answer:
Step-by-step explanation:
Let's just see what happens if we do
(-32)^(1/5)
That means what number do you start with that when multiplied 5 times gives you - 32?
The answer is - 2
-2 * - 2 * -2 * -2 * -2 = -32
Now when you have a root sign that goes to the 1/5 power, you can take out 1 of the factors and throw the other 4 away.
[tex]\sqrt[5]{-2 * - 2 * - 2 * -2 * -2} = - 2[/tex] take one - 2 from under the root sign and throw the other 4 away
That's not the answer. We have one more step.
What is -2 to the 3rd power.
(-2)^3 = - 8
So the answer is -8
[tex]\sqrt[5]{- 32}^3 = -8[/tex]
