Question

(27/125)^-2/3*(27/125)^-4/3

Answer 1

Heya !!

${\dfrac{27}{125}}^{- \dfrac{2}{3}} \times {\dfrac{27}{125}}^{- \dfrac{4}{3}}\\\\\\\\= {\dfrac{27}{125}}^{- \dfrac{2}{3} + {(- \dfrac{4}{3})}}\\\\\\\\= {\dfrac{27}{125}}^{\dfrac{-2-4}{3}}\\\\\\\\= {\dfrac{27}{125}}^{- \dfrac{6}{3}}\\\\\\\\= {\dfrac{27}{125}}^{-2}\\\\\\\\= {\dfrac{125}{27}}^{2}\\\\\\\\= \large \underline{\boxed{\boxed{\dfrac{15625}{729}}}}$

Hope it helps !!