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If the cube root of square of x is the square root of cube of y, then the relation between x and y is

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If the cube root of square of x is the square root of cube of y, then the relation between x and y is
1). x3 = y2
2). x2 = y3
3). x4 = y9
4). x8 = y27


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Answered by on | Votes 0 |

Given,

$(\sqrt[3]{{{x^2}}}\; = \;\sqrt[2]{{{y^3}}})$

⇒ x2/3 = y3/2

Taking LCM of 2 and 3 and multiplying that to the powers on both sides.

⇒ x4 = y9

∴ The relation between x and y is x4 = y9

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