Question

Evaluate this question

Answer 1

Answer:

d.

Step-by-step explanation:

$\bigg( \frac{16}{49} \bigg)^{ - \frac{3}{2} } \\ \\ = \bigg( \frac{49}{16} \bigg)^{ \frac{3}{2} } \\ \\ = \bigg( \frac{ {7}^{2} }{ {4}^{2} } \bigg)^{ \frac{3}{2} } \\ \\ = \bigg( \frac{ {7}}{ {4} } \bigg)^{ \frac{2 \times 3}{2} } \\ \\ = \bigg( \frac{ {7}}{ {4} } \bigg)^{ 3} \\ \\ = \frac{343}{64}$