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If 2n = y, Find 2(^{(2 + frac{n}{3})})

If 2n = y, Find 2(^{(2 + frac{n}{3})})
  • A.
    4y(^frac{1}{3})
  • B.
    4y(^-3)
  • C.
    2y(^frac{1}{3})
  • D.
    2y(^-3)
Correct Answer: Option A
Explanation

If 2n = y,
then, 2(^{(2 + frac{n}{3})}) = 22 x 2(^frac{n}{3})
= 4 x (2n)(^{frac{1}{3}})
But y = 2n, hence
2(^{(2 + frac{n}{3})}) = 4 x y(^{frac{1}{3}})
= 4y(^frac{1}{3})