Solve {l}{3-3*(-3^{43})+(-7^{5})^{10}:7^{7}]:[(-9)^{22}+7^{12}-(-15)}{-18^{2}-36:[2^{8^{2}}:(-2^9)^7+(-9)^15:(-3*3^28)]}

$$\left. \begin{array} { l } { 3 - 3 \cdot ( - 3 ^ { 43 } ) + ( - 7 ^ { 5 } ) ^ { 10 } : 7 ^ { 7 } ] : [ ( - 9 ) ^ { 22 } + 7 ^ { 12 } - ( - 15 ) } \\ { - 18 ^ { 2 } - 36 : [ 2 ^ { 8 ^ { 2 } } : ( - 2 ^ { 9 } ) ^ { 7 } + ( - 9 ) ^ { 15 } : ( - 3 \cdot 3 ^ { 28 } ) ] } \end{array} \right.$$

Evaluate

$$2183814375991797583880214436365065227$$

Solution Steps

Calculate 3 to the power of 43 and get 328256967394537077627.

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

Multiply 3 and -328256967394537077627 to get -984770902183611232881.

$$3-\left(-984770902183611232881\right)+\frac{\left(-7^{5}\right)^{10}}{7^{7}}$$

The opposite of -984770902183611232881 is 984770902183611232881.

$$3+984770902183611232881+\frac{\left(-7^{5}\right)^{10}}{7^{7}}$$

Add 3 and 984770902183611232881 to get 984770902183611232884.

$$984770902183611232884+\frac{\left(-7^{5}\right)^{10}}{7^{7}}$$

Calculate 7 to the power of 5 and get 16807.

$$984770902183611232884+\frac{\left(-16807\right)^{10}}{7^{7}}$$

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

$$984770902183611232884+\frac{1798465042647412146620280340569649349251249}{7^{7}}$$

Calculate 7 to the power of 7 and get 823543.

$$984770902183611232884+\frac{1798465042647412146620280340569649349251249}{823543}$$

Divide 1798465042647412146620280340569649349251249 by 823543 to get 2183814375991796599109312252753832343.

$$984770902183611232884+2183814375991796599109312252753832343$$

Add 984770902183611232884 and 2183814375991796599109312252753832343 to get 2183814375991797583880214436365065227.

$$2183814375991797583880214436365065227$$

Factor

$$353\times 6186442991478180124306556476954859$$