If 2\(^{x + y}\) = 16 and 4\(^{x - y} = \frac{1}{32}\), find the values of x and y.

a

x = \(\frac{3}{4}\), y = \(\frac{11}{4}\)

b

x = \(\frac{3}{4}\), y = \(\frac{13}{4}\)

c

x = \(\frac{2}{3}\), y = \(\frac{4}{5}\)

d

x = \(\frac{2}{3}\), y = \(\frac{13}{4}\)

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Correct Option
b

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