Question

Evaluate this question

Answer 1

d.

Explanation:

`\bigg( (16)/(49) \bigg)^{ - (3)/(2) } \\ \\ = \bigg( (49)/(16) \bigg)^{ (3)/(2) } \\ \\ = \bigg( \frac{ {7}^(2) }{ {4}^(2) } \bigg)^{ (3)/(2) } \\ \\ = \bigg( \frac{ {7}}{ {4} } \bigg)^{ (2 * 3)/(2) } \\ \\ = \bigg( \frac{ {7}}{ {4} } \bigg)^( 3) \\ \\ = (343)/(64) \\`