Question

simplify (25/16) to the -3/2 power

Answer 1

\[(\frac{25}{16})^\frac{-3}{2}\]
\[=\frac{25^\frac{-3}{2}}{16^\frac{-3}{2}}\]
\[=\frac{16^\frac{3}{2}}{25^\frac{3}{2}}\]
\[=\frac{(4^2)^\frac{3}{2}}{(5^2)^\frac{3}{2}}\]
Can u do nw?