Question

I cannot understand the explanation.

Answer 1

Ok, there is a similar but easier method,

First of all know that √a = $a^{1/2}$ , ∛a = $a^{1/3}$ and so on.

So convert the question to the form

$2^{1/3} . 2^{1/4} . 32^{1/12}$

Now since 32 = $2^{5}$

Convert all in terms of 2,

$32^{1/12} = {(2^{5})}^{1/12}$ = $2^{5/12}$

$2^{1/3} . 2^{1/4} . 2^{5/12}$

Now, we use $x^{n}.x^{m},x^{z} = x^{m+n+z}$

So, answer is $2^{1/3 + 1/4 + 5/12} = 2^{7/12 + 5/12} = 2$

Hence 2 is the answer.