Question 1019755
<pre>
You did something wrong.

{{{matrix(2,1,"",2x^(3/2) -8=46)}}}

Add 8 to both sides:

{{{matrix(2,1,"",2x^(3/2)=54)}}}

Divide both sides by 2

{{{matrix(2,1,"",x^(3/2) =27)}}}

We want to get x to the 1 power, so to do that,
we raise both sides to the reciprocal of {{{3/2}}}
power, which is the {{{2/3}}} power.  So we raise
both sides to the {{{2/3}}} power.

{{{matrix(2,1,"",(x^(3/2))^(2/3) =27^(2/3))}}}

Multiply the exponents to remove the parentheses on
the left.  Multiplying {{{expr(3/2)*expr(2/3)=1}}}

On the right use the principle {{{matrix(2,1,"",A^(B/C) =(root(C,A))^B)}}}

{{{x^1 =(root(3,27))^2}}}

{{{x = 3^2}}}

{{{x=9}}} 

Edwin</pre>