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

asked by guest
on Nov 27, 2024 at 3:49 am



You asked:

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

MathBot Answer:

\[{\left( \frac{3}{5} \right)}^{16} + {\left( \frac{5}{3} \right)}^{8} = \frac{59604927204927106}{1001129150390625} \approx 59.53770018750347231848803536046334\]

\[\begin{aligned}{\left( \frac{3}{5} \right)}^{16} + {\left( \frac{5}{3} \right)}^{8}& = \left(\frac{3}{5}\right)^{16} + \left(\frac{5}{3}\right)^{8}\\& = \frac{43046721}{152587890625} + \left(\frac{5}{3}\right)^{8}\\& = \frac{43046721}{152587890625} + \frac{390625}{6561}\\& = \frac{59604927204927106}{1001129150390625}\end{aligned}\]

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