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JamEnergy · Answer 1 · 2019-04-29T01:54:17+0000

Just look at the x and y variables and their exponents and roots. Ignore the rest.

Start with x.
On the left side you have cubic root of x^c.
On the right side you have x^2.

$\sqrt[3]{x^c} = x^2$

$(x^c)^{(1)/(3)} = x^2$

(c)/(3) = 2

Now look at y on both sides and the roots and exponents of y.

$\sqrt[3]{y^5} = y\sqrt[3]{y^d}$

$(y^5)^{(1)/(3)} = y^1 * y^{(d)/(3)}$

$y^{(5)/(3)} = y^{1 + (d)/(3)}$

$y^{(5)/(3)} = y^{(3)/(3) + (d)/(3)}$

$y^{(5)/(3)} = y^{(d + 3)/(3)}$

(d + 3)/(3) = (5)/(3)

Answer: Choice C. c = 6; d = 2

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