Question 1071129

2x^-2/3=8
<pre>{{{matrix(2,1, " ", 2x^(- 2/3) = 8)}}}
{{{matrix(2,1, " ", x^(- 2/3) = 8/2)}}}
{{{matrix(2,1, " ", x^(- 2/3) = 4)}}}
The SIMPLEST approach is to change the exponent to 1. To do that, you need to RAISE each side to the exponent's RECIPROCAL, or: 
{{{matrix(2,1, " ", x^((- 2/3) * (- 3/2)) = 4^(- 3/2))}}}
{{{matrix(2,1, " ", x^((- cross(2)/cross(3)) * (- cross(3)/cross(2))) = (root (2, 4))^(- 3))}}} ------ Converting: {{{matrix(2,1, " ", 4^(- 3/2))}}}
{{{highlight_green(matrix(1,11, x, "=", 2^(- 3), or, x, "=", (1/2)^3, or, x, "=",  1/8))}}}</pre>