Question

evaluate
(81 ÷ 16 ) ^ - 1/4​

Answer 1

Step-by-step explanation:

$\binom{81}{16 {}}^{ - \frac{1}{4} } = \binom{16}{81 {}}^{ \frac{1}{4} } \\ = \binom{ {2}^{4} }{ {3}^{4} {}}^{ \frac{1}{4} } \\ = \frac{ {2}^{(4 \times \frac{1}{4} )} }{ {3}^{(4 \times \frac{1}{4} )} } = \frac{2}{3}$