Question

-Radicals and Exponents-Convert each exponential expression to radical form. Assume variables represent positive real numbers

Answer 1

we have the expression

$x^{(\frac{2}{3})}\cdot y^{(\frac{1}{6})}\cdot z$

Remember that

$a^{(\frac{n}{m})}=\sqrt[m]{a^n}$

so

$x^{(\frac{2}{3})}\cdot y^{(\frac{1}{6})}\cdot z=\sqrt[3]{x^2}\cdot\sqrt[6]{y}\cdot z$