Question

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

C is the anwser

Explanation:

my bf told me to pick c, so therfore it is the right anwser. lol no but fr i did get it right on edge

Answer 2

C. c = 64

Explanation:

The question is incomplete. Here is the complete 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

c = 12

c = 16

c = 64

c = 81

Given the function;

`\sqrt[3]{(x^3)/(cy^4) } = \frac{x}{4y\sqrt[3]{y} }`

We are to find the value of c from the expression.

Step 1: Take the cube of both sides;

`(\sqrt[3]{(x^3)/(cy^4) } )^3= (\frac{x}{4y\sqrt[3]{y} })^3\\(x^3)/(cy^4) = \frac{x^3}{(4y)^3(\sqrt[3]{y} )^3}\\(x^3)/(cy^4) = (x^3)/((64y^3)(y))\\\\(x^3)/(cy^4) = (x^3)/(64y^4)\\`

Step 2: compare the denominator of both sides of the equation;

`(x^3)/(cy^4) = (x^3)/(64y^4)\\\\On \ comparing;\\\\cy^4 = 64y^4\\`

Step 3: Divide both sides by y₄

`(cy^4)/(y^4) = (64y^4)/(y^4)\\c = 64\\`

Hence the value of c is 64. Option C is correct