Evaluate each of the following -3-52-2-33

Find the required solution=( 3/5)^2×(2/3)^30ex0ex=( 3/5)×( 3/5)×(2/3)×(2/3)×(2/3)0ex0ex=( 9/125)×(8/27)0ex0ex=( 1/125)×(8/3)0ex0ex=( 8/375)Hence, the final answ ...

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Standard XII

Mathematics

Properties of Determinants

Evaluate each...

Question

Evaluate each of the following :
${(- \frac{3}{5})}^{2} \times {(\frac{2}{3})}^{3}$

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Solution

Find the required solution
$= {(- \frac{3}{5})}^{2} \times {(\frac{2}{3})}^{3} = (- \frac{3}{5}) \times (- \frac{3}{5}) \times (\frac{2}{3}) \times (\frac{2}{3}) \times (\frac{2}{3}) = (- \frac{9}{125}) \times (\frac{8}{27}) = (- \frac{1}{125}) \times (\frac{8}{3}) = (- \frac{8}{375})$
Hence, the final answer is $(- \frac{8}{375}) .$

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Evaluate each of the following :-352×233

Find the required solution=-352×233=-35×-35×23×23×23=-9125×827=-1125×83=-8375Hence, the final answer is -8375.

Evaluate each of the following :
${(- \frac{3}{5})}^{2} \times {(\frac{2}{3})}^{3}$