Question

Question #3719b

Answer 1

I am interpreting your question as `2^(2/3)*6^(1/3)`. The answer is `2*3^(1/3)=2root(3)(3)`.

Explanation:

Notice that `(ab)^c=a^c*b^c`. We can rewrite `6^(1/3)`as `2^(1/3)*3^(1/3)`.

The question thus becomes `2^(2/3)*2^(1/3)*3^(1/3)`. However, `a^b*a^c=a^(b+c)`. We can rewrite `2^(2/3)*2^(1/3)` as `2^(2/3+1/3)=2^1=2`.

The final answer is `2*3^(1/3)`. We can also write this using radical form: `2root(3)(3)`