Solve 9^frac{9^3{3}}+1/3

$$9 ^ { \frac { 9 ^ { 3 } } { 3 } } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{22806101270489064538606836305782027304394018668740037646290015155386079352542675156915197399133920029572539380372988319024975448210314388077567990248250841128191571750421742300729113759611956429138004263621708134881080173835627909388}{3}\approx 7.602033757 \cdot 10^{231}$$

Solution Steps

Calculate 9 to the power of 3 and get 729.

$$9^{\frac{729}{3}}+\frac{1}{3}$$

Divide 729 by 3 to get 243.

$$9^{243}+\frac{1}{3}$$

Calculate 9 to the power of 243 and get 7602033756829688179535612101927342434798006222913345882096671718462026450847558385638399133044640009857513126790996106341658482736771462692522663416083613709397190583473914100243037919870652143046001421207236044960360057945209303129.

$$7602033756829688179535612101927342434798006222913345882096671718462026450847558385638399133044640009857513126790996106341658482736771462692522663416083613709397190583473914100243037919870652143046001421207236044960360057945209303129+\frac{1}{3}$$

Add 7602033756829688179535612101927342434798006222913345882096671718462026450847558385638399133044640009857513126790996106341658482736771462692522663416083613709397190583473914100243037919870652143046001421207236044960360057945209303129 and \frac{1}{3} to get \frac{22806101270489064538606836305782027304394018668740037646290015155386079352542675156915197399133920029572539380372988319024975448210314388077567990248250841128191571750421742300729113759611956429138004263621708134881080173835627909388}{3}.

$$\frac{22806101270489064538606836305782027304394018668740037646290015155386079352542675156915197399133920029572539380372988319024975448210314388077567990248250841128191571750421742300729113759611956429138004263621708134881080173835627909388}{3}$$