Question

(4^(-3) + 4^(-4)) / (4^(-3) - 4^(-4)

Answer 1

$\frac{{(4)}^{ - 3} + {(4)}^{ - 4} }{{(4)}^{ - 3} - {(4)}^{ - 4} } \\ = \frac{ \frac{1}{ {4}^{3} } + \frac{1}{ {4}^{4} } }{ \frac{1}{ {4}^{3} } - \frac{1}{ {4}^{4} } } \\ = \frac{ \frac{ 4 + 1 }{ {4}^{4} } }{ \frac{4 - 1}{ {4}^{4} } } \\ = \frac{5}{ {4}^{4} } \times \frac{ {4}^{4} }{3} \\ = \frac{5}{3}$