Question

(16)¼ / (27)⅓ * (125)⅕
Indices
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Answer 1

Solution:-

right question ↓

$\implies \: \frac{(16) {}^{ \frac{1}{4} } }{(27) {}^{ \frac{1}{3} } .(125) {}^{ \frac{1}{3} } }$

can we be written as

$\implies \: \frac{(2 {}^{4} ) {}^{ \frac{1}{4} } }{(3 {}^{3}) {}^{ \frac{1}{3} } .(5 {}^{3}) {}^{ \frac{1}{3} } } \\ \\ \\ \implies \: \frac{2 {}^{ \cancel{4} \times \frac{1} { \cancel{4}}} }{3 {}^{ \cancel{3} \times \frac{1}{ \cancel{3}} }.5 {}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } } \\ \\ \\ \\ \implies \: \frac{2}{3 \times 5} \\ \\ \\ \implies \: \frac{2}{15}$

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thanks