If 2 n = y, Find 2\(^{(2 + \frac{n}{3})}\)
MATHEMATICS
WAEC 2015
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: A. 4y\(^\frac{1}{3}\)
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\(^\frac{1}{3}\)
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