Question

Evaluate (4/7) power -2​

Answer 1

$\huge( { \frac{4}{7} )}^{ - 2} \\ \\ \huge = \frac{ {4}^{ - 2} }{ {7}^{ - 2} } \\ \\ \huge = \frac{ \frac{1}{ {4}^{2} } }{ \frac{1}{ {7}^{2} } } \\ \\ \huge = \frac{ \frac{1}{16} }{ \frac{1}{49} } \\ \\ \huge = \frac{1}{16 } \times 49 \\ \\ \\ \huge \tt \boxed{= \frac{49}{16} }$