## anonymous one year ago How would you got about simplifying this fraction raised to an exponent. (In comment section, will award medal)

1. anonymous

$-\left( \frac{ 8 }{ 5 } \right)^{-2}$

2. UsukiDoll

hmmm negative exponents aren't allowed... anything with a negative exponent is rewritten as $x^{-2} =\frac{1}{x^2}$

3. UsukiDoll

$\frac{1}{(\frac{8}{5})^2}$

4. anonymous

Ohh i forgot that rule

5. UsukiDoll

I'm ignoring the negative sign for now, but $\frac{1}{\frac{64}{25}}$ and flip the second fraction

6. UsukiDoll

$-\frac{25}{64}$

7. UsukiDoll

now I put the - back on...

8. anonymous

I see! You're awesome. Thanks a bunch!

9. UsukiDoll

$- \frac{1}{\frac{8}{5}}$ that 8/5 is squared ^^

10. UsukiDoll

my latex is driving me to the fritz machine today xD

11. UsukiDoll

$-\frac{1}{\frac{64}{25}} \rightarrow -\frac{25}{64}$

12. anonymous

Oh ok