Solve (32^27)+4/3/frac{2{7}}

$$\frac { ( 32 ^ { 27 } ) + \frac { 4 } { 3 } } { \frac { 2 } { 7 } }$$

Evaluate

$$\frac{457339501141741294894775472388296476196878}{3}\approx 1.524465004 \cdot 10^{41}$$

Solution Steps

Calculate 32 to the power of 27 and get 43556142965880123323311949751266331066368.

$$\frac{43556142965880123323311949751266331066368+\frac{4}{3}}{\frac{2}{7}}$$

Convert 43556142965880123323311949751266331066368 to fraction \frac{130668428897640369969935849253798993199104}{3}.

$$\frac{\frac{130668428897640369969935849253798993199104}{3}+\frac{4}{3}}{\frac{2}{7}}$$

Since \frac{130668428897640369969935849253798993199104}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{130668428897640369969935849253798993199104+4}{3}}{\frac{2}{7}}$$

Add 130668428897640369969935849253798993199104 and 4 to get 130668428897640369969935849253798993199108.

$$\frac{\frac{130668428897640369969935849253798993199108}{3}}{\frac{2}{7}}$$

Divide \frac{130668428897640369969935849253798993199108}{3} by \frac{2}{7} by multiplying \frac{130668428897640369969935849253798993199108}{3} by the reciprocal of \frac{2}{7}.

$$\frac{130668428897640369969935849253798993199108}{3}\times \frac{7}{2}$$

Multiply \frac{130668428897640369969935849253798993199108}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{130668428897640369969935849253798993199108\times 7}{3\times 2}$$

Do the multiplications in the fraction \frac{130668428897640369969935849253798993199108\times 7}{3\times 2}.

$$\frac{914679002283482589789550944776592952393756}{6}$$

Reduce the fraction \frac{914679002283482589789550944776592952393756}{6} to lowest terms by extracting and canceling out 2.

$$\frac{457339501141741294894775472388296476196878}{3}$$

Factor

$$\frac{2 \cdot 7 ^ {2} \cdot 83 \cdot 919 \cdot 6131 \cdot 27799 \cdot 195402127 \cdot 1837085028172143361}{3} = 1.5244650038058043 \times 10^{41}$$