Fing the value of frac5^2/3×sqrt[3]5^7sqrt[3]5^6

$\frac{5^{\frac{2}{3}}×\sqrt[3]{5^7}}{\sqrt[3]{5^6}}$

= $\frac{5^{\frac{2}{3}}×5^{\frac{7}{3}}}{5^{\frac{6}{3}}}$

= \(\frac{5^\frac{9}{3}}{5^2}\)

= $\frac{5^3}{5^2}$

= 5^{(3 - 2)}

= 5