2√52x^9/√13x

without brackets your meaning is not clear

This is your question

2√52x^9/√13x = 2(√52)x^9/(√13)x = 2(sqrt52)x^9*x/(sqrt13)

But I suspect that you actually mean

\(\frac{2*\sqrt{52}\;x^9}{\sqrt{13}\;x}\\ =\frac{2*2\;x^9}{x^1}\\ =4x^8 \)