WAEC - Mathematics (2015 - No. 7)

If 2n = y, Find 2\(^{(2 + \frac{n}{3})}\)
4y\(^\frac{1}{3}\)
4y\(^-3\)
2y\(^\frac{1}{3}\)
2y\(^-3\)

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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