Question

(8/27)^-2/3 + (125/64)^1/3

Answer 1

Answer:

$( \frac{8}{27} )^{ - \frac{2}{3} } + (\frac{125}{64} )^{\frac{1}{3} } \\ = ( \frac{27}{8} )^{ \frac{2}{3} } + (\frac{125}{64} )^{\frac{1}{3} } \\ = \frac{ {3}^{3 \times \frac{2}{3} } }{ {2}^{3 \times \frac{2}{3} } } + \frac{ {5}^{3 \times \frac{1}{3} } }{ {4}^{3 \times \frac{1}{3} } } \\ = \frac{ {3}^{2} }{ {2}^{2} } + \frac{5}{4} \\ = \frac{9}{4} + \frac{5}{4} \\ = \frac{9 + 5}{4} \\ = \frac{14}{4} \\ = \frac{7}{2}$