What values of c and d make the equation true?

[tex]\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d}[/tex]
RootIndex 3 StartRoot 162 x Superscript c Baseline y Superscript 5 Baseline EndRoot = 3 x squared y (RootIndex 3 StartRoot 6 y Superscript d Baseline EndRoot)

c = 2, d = 2

c = 2, d = 4

c = 6, d = 2

c = 6, d =4