Note that (a^b)^c=a^(bc) so in this case we have:
(27^(1/3))^2 the cube root of 27=±3
(±3)^2 and ±3^2=9
So the equivalent expression is 9 or if you need an exponent 9^1 :)
I am assuming that you meant 27^(2/3)
We know that
The Triangle Inequality Theorem states that the sum of any sides of a triangle must be greater than the measure of the third side
so
Attached photo 1
...
therefore
the answer is
The value of y must be greater than 7
Attached photo 2
2x - 7 = 8x - 47 - (3x - 14) / 2
combine like terms
0= 6x - 40 - (3x-14)/2
(3x-146) / 2
isolate x
x=22/3
your final answer would be x=22/3