Question

PLS HELP ASAP I AM TIMED DON TGUESS EXPLAIN ANSWER

9) What value of c makes the equation true? Assume x > 0 and y > 0

the equation is the image

c = 12
c = 16
c = 81
c = 64

Answer 1

Answer: c is the correct answer

Step-by-step explanation: took it in edg

Answer 2

`\sqrt[3]{(x^3)/(cy^4)}=\frac{x}{4y\sqrt[3]{y}}\\\\\\\frac{\sqrt[3]{x^3}}{\sqrt[3]{cy^3\cdot y}}=\frac{x}{4y\sqrt[3]{y}}\\\\\\\frac{x}{y\sqrt[3]{cy}}=\frac{x}{4y\sqrt[3]{y}}\\\\\\\sqrt[3]{cy}=4\sqrt[3]{y}\\\\\sqrt[3]{c}\sqrt[3]{y}=4\sqrt[3]{y}\\\\\sqrt[3]{c}=4\qquad|(\ldots)^3\\\\c=4^3\\\\\boxed{c=64}`

Answer D.