If x, y are two positive real numbers and x1/3 = y1/4 ,

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If x, y are two positive real numbers and x^1/3 = y^1/4 , then which of the following relations is true?

1. x³ = y⁴
2. x³ = y
3. x = y⁴
4. x²⁰ = y¹⁵

Correct Option: D

x^1/3 = y^1/4
⇒ (x^1/3)¹² = (y^1/4)¹² ⇒ x⁴ = y³
⇒ (x⁴)⁵ = (y³)⁵ ⇒ x²⁰ = y¹⁵