# rational fractions?

• May 24th 2011, 07:49 PM
whit221
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:
$16^\frac{11}{2}$

• May 24th 2011, 07:50 PM
TheEmptySet
Quote:

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