Consider
\(\displaystyle \left(\frac{x^{2}y}{z}\right)^{m}.\left(\frac{y^{\,4}z}{x}\right)^{n}=24^{m}.30^{n}\)
Simplify the lhs and determine the values of m and n so that it is identical with \(\displaystyle x^{8}/(yz)^{5}.\)
Substitute m and n into the rhs.
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