Question

find the value of (16/81)-³/⁴​

Answer 1

Answer:

$= ( \frac{16}{81} )^{ \frac{ - 3}{4} } \\ \\ = ( \frac{ {2}^{4} }{ {3}^{4} } ) ^{ \frac{ - 3}{4} } \\ \\ = \frac{ {2}^{4 \times \frac{ - 3}{4} } }{ {3}^{4 \times \frac{ - 3}{4} } } \\ \\ = \frac{ {2}^{ - 3} }{ {3}^{ - 3} } \\ \\ = \frac{ {3}^{3} }{ {2}^{3} } \\ \\ = \frac{27}{8}$

Answer 2

Answer:$\frac{27}{8}$

Explanation:

$\frac{16}{81}^{-\frac{3}{4} }$=$\frac{81}{16}^{\frac{3}{4} }$=$(\sqrt[4]{\frac{81}{16} }})^{3}$=$(\frac{\sqrt[4]{81} }{\sqrt[4]{16} })^3$=$(\frac{3}{2} )^3$=$\frac{27}{8}$