Exponents........

Let The answer be $x$

$\frac{\sqrt{63}\times\sqrt{7}}{\sqrt[3]{27}}$ = $x$

$\frac{\sqrt{63}\times\sqrt{7}}{\sqrt{9}}$ = $x$

$\frac{63\times7}{9}$ = $x^{2}$

$7\times7$ = $x^{2}$

Therefore $x$ =7

$\large \dfrac{\sqrt{63} \times \sqrt{7}}{\sqrt[3]{27}}$

$\large = \dfrac{\sqrt{7 \times 3^2} \times \sqrt{7}}{\sqrt[3]{3^3}}$

$\large = \dfrac{3\sqrt{7} \times \sqrt{7}}{3}$

$\large = \dfrac{3 \times \sqrt{7^2}}{3}$

$\large = \dfrac{3 \times 7}{3}$

$\huge = \boxed{7}$

Srt(63*7)/3 =sqrt(441)/3 =21/3 =7