The value of c = 64 makes the equation true.
An equation is defined as the mathematical statement formed when  two algebraic expression are equated by an equal sign.
It is given in the question that
x> 0 and y>0
[tex]\rm \sqrt[3]{\dfrac{x^3}{cy^4} }= \dfrac{x}{4y\sqrt[3]{y}}\\\\\\{\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^3 \times y} \\\\\\\\\\\therefore\; from \;this \\\\c= 64\\[/tex]
The value of c = 64 makes the equation true.
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