Question

evaluate [(3/2)²]-²
8th class step by step​

Answer 1

Answer:

4/81

Step-by-step explanation:

3/2² = 3/2 × 3/2 = 9/4

Multiplying 9/4 to the power ⁻² it must be multiplied to itself with its reciprocal, for eg - 2/8⁻² = 8/2 × 8/2 or another eg is 7/3⁻² = 3/7² = 3/7 × 3/7 = 9/49

Moving towards the question -----

9/4⁻² = 4/9 × 4/9 = 16/81

Answer 2

${ \bigg({ \bigg(\cfrac{3}{2} \bigg) }^{ 2} \: \bigg)}^ { - 2} \\ \\ { \bigg({ \cfrac{9}{4}} \bigg)}^ { - 2} \\ \\ { \bigg({ \cfrac{4}{9}} \bigg)}^ { 2} \\ \\ \frac{16}{81}$