Question

Could you give me details of the answer?

Answer 1

E

Explanation:

`(b^3root(3)(a^2b^5))/a` this is what your question looks like as

Rule 1: `a^-1=1/a^1=1/a`

Rule 2: `sqrtx=x^(1/2)`

`(b^2(a^2b^5)^(1/3))/a`

Rule 3: `sqrt(ab)=sqrtasqrtb=(ab)^(1/2)=a^(1/2)b^(1/2)`

`(b^2a^(2/3)b^(5/3))/a`

Rule 4: `a^2*a^3=a^(2+3)=a^5`

Rule 5: `a^2/a^3=a^(2-3)=a^-1`

`b^(2+5/3)a^(2/3-1)=b^(6/3+5/3)a^(2/3-3/3)=b^(11/3)a^(-1/3)=b^(11/3)/a^(1/3)`

So the answer is E