Question

What value of c makes the equation true? assume x greater-than 0 and y greater-than 0 rootindex 3 startroot startfraction x cubed over c y superscript 4 baseline endfraction endroot = startfraction x over 4 y (rootindex 3 startroot y endroot) endfraction

Answer 1

The value of c = 64 makes the equation true.

What is an Equation ?

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

$\rm \sqrt[3]{\dfrac{x^3}{cy^4} }= \dfrac{x}{4y\sqrt[3]{y}}\\\\\\{\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^3 \times y} \\\\\\\\\\\therefore\; from \;this \\\\c= 64$

The value of c = 64 makes the equation true.

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