Question

Find the value of [81/625]^-3/4


pls i need the answer fast

Answer 1

(81/625)-¾.
=(3/5)-³
=5³/3³
=125/27

Answer 2

$\huge{\pink{\bold{\boxed{\ulcorner{\star\:Answer\: \star}\urcorner}}}}$

$\implies (\frac{81}{625})^{-\frac{3}{4}}\\\implies (\frac{3^{4}}{5^{4}})^{-\frac{3}{4}}\\\implies (\frac{3}{5})^{\cancel4\times\frac{-3}{\cancel4}}\\\implies (\frac{3}{5})^{-3}\\\implies (\frac{5}{3})^{3}$

$\red{\boxed{\mathbb{\ulcorner{\implies \frac{125}{27}}\urcorner}}}$