Find k if \(\large \sqrt[3]{x\sqrt{x}} = x^k \)
\(\sqrt[3]{x\sqrt{x}}=x^k\)
\(\sqrt[3]{x\cdot x^\frac{1}{2}}=x^k\)
\(\sqrt[3]{x^\frac{3}{2}}=x^k\)
\(x^{\frac{3}{2}\cdot\frac{1}{3}}=x^k\)
\(x^\frac{1}{2}=x^k\)
\(\boxed{k=\frac{1}{2}}\)
\(\)
+738 
