Question

find the value of x with full solution ​

Answer 1

Given

X = [{(-⅓)²}-²]-¹

=> = [{1/9}-²]-¹

=> = [ 81]-¹

=> X = 1/81

Hope it may help.

Answer 2

$\bigg[ \bigg(\bigg( -\frac{1}{3} \bigg)^{2} \bigg) ^{ - 2} \bigg]^{ - 1}$

Multiplying the powers $\sf{[(x)^{m}]^{n}=x^{mn}}$

$\bigg( - \frac{1}{3} \bigg) ^{2 \times ( - 2) \times ( - 1)} \\ \\ \rightarrow \bigg( - \frac{1}{3} \bigg) ^{4} \\ \\ \rightarrow \bigg( - \frac{ {1}^{4} }{ {3}^{4} } \bigg) \\ \\ \rightarrow \bigg( - \frac{1}{81} \bigg) \\ \\ \: \: \: \: \: \: \: \: \bigstar \: \boxed{\bigg( - \frac{1}{81} \bigg)}$