[ ( ( 23)^5)^3]^ 2 = [ ( 23)^5 × 3]^ 2 = [ 23]^15 ×( 2 ) = ( 23)^ 30 = ( 32)^30 ...

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Discriminant

Evaluate [ ...

Question

Evaluate
${⎡ ⎣ {({(\frac{2}{3})}^{5})}^{3} ⎤ ⎦}^{- 2}$

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Solution

${⎡ ⎣ {({(\frac{2}{3})}^{5})}^{3} ⎤ ⎦}^{- 2}$
$= {[{(\frac{2}{3})}^{5 \times 3}]}^{- 2}$
$= {[\frac{2}{3}]}^{15 \times (- 2)}$
$= {(\frac{2}{3})}^{- 30}$
$= {(\frac{3}{2})}^{30}$

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(35)^{3} =

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