Question

The value of [{(-3)²}-¹]-² is​

Answer 1

$\sf \: {[ {[( { - 3)}^{2} ]}^{ - 1} ]}^{ - 2} \\ \\ \sf : \implies \: {[[ {9} ]^{ - 1} ]}^{ - 2} \\ \\ \sf : \implies \: {[[ { \frac{1}{9} } ]^{ 1} ]}^{ - 2} \\ \\ \sf : \implies \: [ { \frac{1}{9} } ]^{ - 2} \\ \\ \sf : \implies \: [ 9]^{2} \\ \\ \fcolorbox{pink}{pink}{ : \: 81 \: \: ...ans}$

SOME RELATED RULES :-

$\sf \: i) \: ( {a}^{m} ) ^{n} = {a}^{mn} \\ \sf ii) \: \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \\ \sf iii) \: {a}^{ - m} = \frac{1}{ {a}^{m} }$