Question

I need help with this asap please! Any help will be appreciated!

Problem:
Determine the value of n such that ∜(〖64〗^(1/3) )=〖64〗^(1/n).

(I'm not sure if it makes sense because I just copied and pasted it here from my word document)

Answer 1

n=3

Explanation:

64^(1/3)

Note that the exponent 1/3 given stands for the third root of the integer.

64^(1/3) =4

Check: 4 x 4 x 4 = 64

(By comparison of 64^(1/3) to 64^(1/n) means n= 3)

∜(64^(1/3)) =∜(4) = 1.41421356

The real number is

All the roots are:

1.41421356

1.41421356i

−1.41421356

−1.41421356i

4 is not a perfect 4th power.