Question

please answer these three questions guys.​

Answer 1

$3)\sf \pink{ {(( \frac{3}{2} )}^{ - 2} )}^{ 2 }$

$= {(( \frac{2}{3} )}^{2}){ ^{2} }$

$\mathfrak{= {( \frac{2}{3} )}^{4} } = \frac{16}{81}$

$4) \tt{( { \frac{2}{5} ) }^{ - 3} } \times {( \frac{25}{4} )}^{ - 3}$

$= {( \frac{2 \times 25}{5 \times 4} )}^{ - 3} = { (\frac{5}{2} )}^{ - 3} = ( \frac{2}{5} )^{3} = \frac{8}{125}$

$5)\sf \blue{ ({2}^{ - 1}) }^{ - 1}$

$= > {(1 \div 2)}^{ - 1} = 2$

$= {2}^{ - 1 \times - 1} = 2$

Hence proved.

Answer 2

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