Question

8^2/3+27^2/3-32^-3/5 find the value of
plz help​

Answer 1

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☞ SOLUTION :-

$\implies \: {8}^{ \frac{2}{3} } + {27}^{ \frac{2}{3} } - {32}^{ \frac{ - 3}{5} } \\ \\ \implies \: {(2)}^{3 \times \frac{2}{3} } \: + {(3)}^{3 \times \frac{2}{3} } \: - {(2)}^{5 \times \frac{ - 3}{5} } \\ \\ \implies \: {(2)}^{2} \: + {(3)}^{2} \: - {(2)}^{ - 3} \\ \\ \implies \: {(2)}^{2} - {(2)}^{ - 3} + {(3)}^{2} \\ \\ \implies \: {(2)}^{2 - 3} + {(3)}^{2} \\ \\ \implies \: {(2)}^{ - 1} + {(3)}^{2} \\ \\ \implies \: \frac{1}{2} + \frac{9}{1} \\ \\ \implies \: \frac{1 + 18}{2} \\ \\ \implies \: \frac{19}{2} \\ \\ \implies \: 9.5$

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