Question

243 raised to the power 2 by 5 + 32 raise to the power minus 2 by 5
The word by comes under fractional form
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Answer 1

Answer:

${(243)}^{ \frac{2}{5} } + {(32)}^{ \frac{ - 2}{5} } = \frac{37}{4}$

Step-by-step explanation:

243 raised to the power 2 by 5 + 32 raise to the power minus 2 by 5

The word by comes under fractional form

$= {(243)}^{ \frac{2}{5} } + {(32)}^{ \frac{ - 2}{5} } \\ \\ = {( {3}^{5} )}^{ \frac{2}{5} } + {( {2}^{5} )}^{ \frac{ - 2}{5} } \\ \\ = {{3}^{5 \times } }^{ \frac{2}{5} } + { {2}^{5} \times }^{ \frac{ - 2}{5} } \\ \\ = {3}^{2} + {2}^{ - 2} \\ \\ = 9 + \frac{1}{ {2}^{2} } \\ \\ = 9 + \frac{1}{4} \\ \\ = \frac{37}{4}$

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