Question

evaluate : (
$( {1}^{3} + {2}^{3} + 3 {}^{3} ) {}^{ - \frac{5}{2} }$
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Answer 1

✨ANSWER

$(1 {}^{3} + {2}^{3} + {3}^{3} ) {}^{ \frac{ - 5}{2} } \\ \sf \implies (1 \: + 8 \: + 27) {}^ \frac{ - 5}{2} \\ \sf \implies \: ({36})^{ \frac{ - 5}{2} } \\ \sf \implies ( { {6}^{2})}^{ \frac{ - 5}{2} } \\ \implies \sf {(6)}^{2 \times \frac{ - 5}{2} } \\ \sf \implies {(6})^{ - 5} \\ \sf \implies \: ( { \frac{1}{6} })^{5}$

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Thanks! ✨