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

Question

blondisaurus · Answer

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

usukidoll · Answer

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

usukidoll · Answer

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

blondisaurus · Answer

Ohh i forgot that rule

usukidoll · Answer

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

usukidoll · Answer

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

usukidoll · Answer

now I put the - back on...

blondisaurus · Answer

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

usukidoll · Answer

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

usukidoll · Answer

my latex is driving me to the fritz machine today xD

usukidoll · Answer

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

blondisaurus · Answer

Oh ok