Question 205748
{{{x^(3/2) =27}}} 
You want to 'get x by itself on the lefthand side'. So first let's get rid of the 2 on the left.
If you square both sides, you'll get
{{{(x^(3/2))^2 =27^2}}} 
{{{x^3 = 27^2}}}  
Now take the cube root of each side
{{{(x^3)^(1/3) = (27^2)^(1/3)}}} 
{{{x = 27^(2/3)}}}
Now simplify
What is the cube root of 27? Well, 27 = 9*3= 3*3*3. So {{{27^(1/3) = 3}}}
Thus
{{{x = (27^(1/3))^2}}}
{{{x = 3^2}}}
{{{x = 9}}}
check your answer
Does {{{9^(3/2) = 27}}}