(3/5)*16 + (5/3)^8

asked by guest
on Nov 27, 2024 at 3:48 am



You asked:

Evaluate the expression: \(\frac{3}{5} \cdot 16 + {\left( \frac{5}{3} \right)}^{8}\)

MathBot Answer:

\[\frac{3}{5} \cdot 16 + {\left( \frac{5}{3} \right)}^{8} = \frac{2268053}{32805} \approx 69.13741807651272671848803536046334\]


\[\begin{aligned}\frac{3}{5} \cdot 16 + {\left( \frac{5}{3} \right)}^{8}& = \frac{3}{5} \cdot 16 + \left(\frac{5}{3}\right)^{8}\\& = \frac{48}{5} + \left(\frac{5}{3}\right)^{8}\\& = \frac{48}{5} + \frac{390625}{6561}\\& = \frac{2268053}{32805}\end{aligned}\]