Simplify the exponential expression and express answer with positive exponents.

Simplify the exponential expression and express answer with positive exponents.
$\frac{{5}^{-2}x{y}^{6}}{3{x}^{4}{y}^{-2}}$
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Given:
$\frac{{5}^{-2}x{y}^{6}}{3{x}^{4}{y}^{-2}}$
Solution:
$\frac{{5}^{-2}x{y}^{6}}{3{x}^{4}{y}^{-2}}$
First simplify,
$\frac{{y}^{6}}{{y}^{-2}}$
$={y}^{8}$
Now simplify.
$\frac{x}{{x}^{4}}=\frac{1}{{x}^{3}}$
And now simplify
${5}^{-2}=\frac{1}{{5}^{2}}$
Then, finally substitute the simplify values in given function.
$=\frac{{y}^{8}}{75{x}^{3}}$