What values of c and d make the equation true? \sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d} RootIndex 3 StartRoot 162 x Superscript c Baseline y Superscript 5 Baseline EndRoot = 3 x squared y (RootIndex 3

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asked Mar 11, 2023 216k views

5 votes

What values of c and d make the equation true?

$\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d}$
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