Answer
$\dfrac{6^{-5}x^{-1}y^{2}}{6^{-2}x^{-4}y^{4}}=\dfrac{x^{3}}{216y^{2}}$
Work Step by Step
$\dfrac{6^{-5}x^{-1}y^{2}}{6^{-2}x^{-4}y^{4}}$
Evaluate the division:
$\dfrac{6^{-5}x^{-1}y^{2}}{6^{-2}x^{-4}y^{4}}=6^{-5-(-2)}x^{-1-(-4)}y^{2-4}=6^{-3}x^{3}y^{-2}=...$
Simplify:
$...=\dfrac{x^{3}}{6^{3}y^{2}}=\dfrac{x^{3}}{216y^{2}}$