Hi,

Could somebody please tell me where I'm going wrong, or if it's the book that's wrong on this (easy) question:

$\displaystyle \frac{2^6}{8^{2\frac{1}{2}}*2^{-\frac{1}{2}}}$

I get:

$\displaystyle \frac{2^6}{(2^3)^{2\frac{1}{2}}*2^{-\frac{1}{2}}}$

$\displaystyle = \frac{2^6}{2^{7\frac{1}{2}}*2^{-\frac{1}{2}}}$

$\displaystyle = \frac{2^6}{2^7}$

$\displaystyle = 2^{-1}$

$\displaystyle = \frac{1}{2}$

The book however has the answer as:

$\displaystyle 2^\frac{39}{4}$

I'm pretty sure I'm right because multiplying it out gives 0.5, but I tried it in an online solver and they come out with the same answer as the book.