# Simplifying exponential expressions

#### arl2267

##### New member
Simplify 8p-3 x (4p2)-2/p-5.

This is what I got:

First thing I did was flip everything to get rid of the negative exponents:

p5/8p3x(4p2)2

next thing I did was multiply the 4p2 by 2

p5/ 8p3x16p4

Then I subtracted thep5 from the 8p3

p2/8x16p4

and ended up with

1/128p2 I know that the answer is 1/2p2​ so where did I go wrong?

Last edited by a moderator:

#### pickslides

##### Member
After expanding the brackets

$\displaystyle \frac{8p^{-3}\times 4^{-2}\times p^{-4}}{p^{-5}}$

$\displaystyle \frac{8p^{-3}\times p^{-4}}{4^{2}\times p^{-5}}$

You can now see the numerical part is $\displaystyle\frac{8}{16}= \frac{1}{2}$