Solve -3*(-3^{43})+(-7^{5})^{10}:7^{7^{2}}]:[(-9)^{22}+7^{1^22}-(-15^n+1):5^n+1:3^n]

$$- 3 \cdot ( - 3 ^ { 43 } ) + ( - 7 ^ { 5 } ) ^ { 10 } : 7 ^ { 7 ^ { 2 } } ] : [ ( - 9 ) ^ { 22 } + 7 ^ { 1 ^ { 22 } } - ( - 15 ^ { n + 1 } ) : 5 ^ { n + 1 } : 3 ^ { n } ]$$

Evaluate

$$984770902183611232888$$

Solution Steps

Calculate 3 to the power of 43 and get 328256967394537077627.

$$-3\left(-328256967394537077627\right)+\frac{\left(-7^{5}\right)^{10}}{7^{7^{2}}}$$

Multiply -3 and -328256967394537077627 to get 984770902183611232881.

$$984770902183611232881+\frac{\left(-7^{5}\right)^{10}}{7^{7^{2}}}$$

Calculate 7 to the power of 5 and get 16807.

$$984770902183611232881+\frac{\left(-16807\right)^{10}}{7^{7^{2}}}$$

Calculate -16807 to the power of 10 and get 1798465042647412146620280340569649349251249.

$$984770902183611232881+\frac{1798465042647412146620280340569649349251249}{7^{7^{2}}}$$

Calculate 7 to the power of 2 and get 49.

$$984770902183611232881+\frac{1798465042647412146620280340569649349251249}{7^{49}}$$

Calculate 7 to the power of 49 and get 256923577521058878088611477224235621321607.

$$984770902183611232881+\frac{1798465042647412146620280340569649349251249}{256923577521058878088611477224235621321607}$$

Divide 1798465042647412146620280340569649349251249 by 256923577521058878088611477224235621321607 to get 7.

$$984770902183611232881+7$$

Add 984770902183611232881 and 7 to get 984770902183611232888.

$$984770902183611232888$$

Factor

$$2^{3}\times 11\times 11190578433904673101$$