I am a little unsure about this question, as I have found an answer that may suggest the one in the book has a mistake or I am not understanding correctly how to do it.

Write each expression as a single power with positive exponents.

a) $\displaystyle \frac{6^\frac{3}{2} \times 6^5}{6} = \frac{6^\frac{13}{2}}{6^\frac{2}{2}} = 6^\frac{11}{2}

$

The answer in the text is:

$\displaystyle 16^\frac{11}{2} $

Thanks in advance.