Question

find the value of (81 / 16) to the power of -3/4​

Answer 1

Step-by-step explanation:

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

hence the value of (81/16)= 8/27