# Math Help - rational fractions?

1. ## rational fractions?

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) $\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:
$16^\frac{11}{2}$

2. Originally Posted by whit221
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) $\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:
$16^\frac{11}{2}$