Question

What value of c makes the equation true? What value of c makes the equation true? Assume mc023-1.jpg and mc023-2.jpg mc023-3.jpg c = 12 c = 16 c = 81 c = 64

Answer 1

Answer:

C = 64

Step-by-step explanation:

What value of c makes the equation true?

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

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

Taking Cube both sides

$\implies \frac{x^3}{cy^4} = \frac{x^3}{(4y)^3(y)}\\\\\implies x^3(4y)^3(y) = x^3cy^4$

=> x³64y³y = x³cy⁴

=> 64x³y⁴ = cx³y⁴

Cancelling x³y⁴ from both sides

=> 64 = c

Hence correct answer is C = 64