[tex] \frac{1}{ {( \frac{1}{3} })^{ - 2} } = [/tex]
[tex] \frac{1}{ {3}^{2} } = [/tex]
[tex] \frac{1}{9} [/tex]
[tex]\boxed{\sf{{ \bf{ \boxed{\sf{{ \bf{ {a}^{ - n} \: = \: \frac{1}{ {a}^{n} } \: atau \: {a}^{n} \: = \: \frac{1}{ {a}^{ - n} } }}}}}}}}[/tex]
[tex]{\sf{1.) \: \frac{1}{ (\frac{1}{3} ) { }^{ - 2} } }}[/tex]
[tex]{\sf{ = \: \frac{1}{ \frac{1}{ {3}^{1} } } }}[/tex]
[tex]{\sf{ = \: \frac{1}{( {3}^{ - 1) {}^{ - 2 } } } }}[/tex]
[tex]{\sf{ = \: \frac{1}{ {3}^{2} } }}[/tex]
[tex]{\sf{ = \: \frac{1}{3 \: \times \: 3} }}[/tex]
[tex]\boxed{\sf{{ \bf{ = \: \boxed{\sf{{ \bf{ \frac{1}{9} }}}}}}}}[/tex]
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[tex] \frac{1}{ {( \frac{1}{3} })^{ - 2} } = [/tex]
[tex] \frac{1}{ {3}^{2} } = [/tex]
[tex] \frac{1}{9} [/tex]
Verified answer
[tex]\boxed{\sf{{ \bf{ \boxed{\sf{{ \bf{ {a}^{ - n} \: = \: \frac{1}{ {a}^{n} } \: atau \: {a}^{n} \: = \: \frac{1}{ {a}^{ - n} } }}}}}}}}[/tex]
[tex]{\sf{1.) \: \frac{1}{ (\frac{1}{3} ) { }^{ - 2} } }}[/tex]
[tex]{\sf{ = \: \frac{1}{ \frac{1}{ {3}^{1} } } }}[/tex]
[tex]{\sf{ = \: \frac{1}{( {3}^{ - 1) {}^{ - 2 } } } }}[/tex]
[tex]{\sf{ = \: \frac{1}{ {3}^{2} } }}[/tex]
[tex]{\sf{ = \: \frac{1}{3 \: \times \: 3} }}[/tex]
[tex]\boxed{\sf{{ \bf{ = \: \boxed{\sf{{ \bf{ \frac{1}{9} }}}}}}}}[/tex]