Find the indicated real nth roots of x if anyGive your answe

Find the indicated real n-th roots of x if any.Give your answer in simplest form.

1. n = 3, x = -27

2. n = 6, x = 64

3. n = 5, x = -243/32

4. n = 4, x = -64

Solution

1. n = 3, x = -27

(-27)^1/3

=((-3)³)^1/3

=-3

2. n = 6, x = 64

(64)^1/6

=(2⁶)^1/6

=2

3. n = 5, x = -243/32

(-243/32)^1/5

=((-3/2)⁵)^1/5

=-3/2

4. n = 4, x = -64

no real roots , only complex roots