Question 1183335

<pre>Solve *[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sqrt[3]{\frac{1}{64}}+\left(\frac{243}{x}\right)^{\frac{2}{5}}=\sqrt{\frac{25}{4}}]</font>

                   {{{matrix(1,3, root (3, 1/64) + (243/x)^(2/5), "=", sqrt(25/4))}}}
                   {{{matrix(1,3, matrix(2,1, " ", (1/4) + (9)/x^(2/5)), "=", 5/2)}}} ------ Simplifying {{{matrix(1,3, (243/x)^(2/5), and, sqrt(25/4))}}}
                   {{{matrix(2,3, matrix(2,1, " ", (9)/x^(2/5)), "=", (5/2) - (1/4), matrix(2,1, " ", 9/x^(2/5)), "=", 9/4)}}} 
                   {{{matrix(1,3, matrix(2,1, " ", 1/x^(2/5)), "=", 1/4)}}} ------ Reducing each fraction by dividing numerators by GCF, 9
                   {{{matrix(2,3, matrix(2,1, " ", x^(2/5)), "=", 4, x^((2/5) * (5/2)), "=", 4^(5/2))}}} ------ Cross-multiplying
                   {{{highlight_green(matrix(1,5, highlight(x), "=", matrix(2,1, " ", 4^(5/2)), "=", highlight(32))))}}}</pre>