Question

How do you simplify `8^(1/7)+2(8^(1/7))`?

Answer 1

`3(2^(3/7))`

Explanation:

Change `8` to `2^3`: `(2^3)^(1/7) + 2((2^3)^(1/7))`

Use the exponent multiplication rule: `(a^m)^n = a^(m*n)`:

`2^(3/7)+ 2(2^(3/7))`

Factor:

`2^(3/7)(1+2) = 3(2^(3/7))`