a) x^5/6 ≠ 5√6, Because 5 is in numerator & 6 in denominator in exponential expression so it can be in direct expression.
It is False.
b) (16)^1/4 = 2.
It is False
c) a^2/7 + a^4/7 = a^2/7+4/7 = a^6/7
It is False.
d) Here, powers are not equivalent.
Again, It is False
e) (27x^6)^2/3 = 27^2/3 x^12/3
= 9x^4
It is True.
13) Here, expression would be: a^2/3
In short, Your Answer is Option B
14) ∛8x^6
= ∛8 x^6/3
= 2x²
In short, Your Answer would be Option C
Hope this helps!