Solve 4^{13}+3*7^{12}:21-2^114*3+3^13*6:18-2^15+3^10

$$4 ^ { 13 } + 3 \cdot 7 ^ { 12 } : 21 - 2 ^ { 11 } 4 \cdot 3 + 3 ^ { 13 } \cdot 6 : 18 - 2 ^ { 15 } + 3 ^ { 10 }$$

Evaluate

$$2044968753$$

Solution Steps

Calculate 4 to the power of 13 and get 67108864.

$$67108864+\frac{3\times 7^{12}}{21}-2^{11}\times 4\times 3+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Calculate 7 to the power of 12 and get 13841287201.

$$67108864+\frac{3\times 13841287201}{21}-2^{11}\times 4\times 3+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Multiply 3 and 13841287201 to get 41523861603.

$$67108864+\frac{41523861603}{21}-2^{11}\times 4\times 3+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Divide 41523861603 by 21 to get 1977326743.

$$67108864+1977326743-2^{11}\times 4\times 3+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Add 67108864 and 1977326743 to get 2044435607.

$$2044435607-2^{11}\times 4\times 3+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Calculate 2 to the power of 11 and get 2048.

$$2044435607-2048\times 4\times 3+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Multiply 2048 and 4 to get 8192.

$$2044435607-8192\times 3+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Multiply 8192 and 3 to get 24576.

$$2044435607-24576+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Subtract 24576 from 2044435607 to get 2044411031.

$$2044411031+\frac{3^{13}\times 6}{18}-2^{15}+3^{10}$$

Calculate 3 to the power of 13 and get 1594323.

$$2044411031+\frac{1594323\times 6}{18}-2^{15}+3^{10}$$

Multiply 1594323 and 6 to get 9565938.

$$2044411031+\frac{9565938}{18}-2^{15}+3^{10}$$

Divide 9565938 by 18 to get 531441.

$$2044411031+531441-2^{15}+3^{10}$$

Add 2044411031 and 531441 to get 2044942472.

$$2044942472-2^{15}+3^{10}$$

Calculate 2 to the power of 15 and get 32768.

$$2044942472-32768+3^{10}$$

Subtract 32768 from 2044942472 to get 2044909704.

$$2044909704+3^{10}$$

Calculate 3 to the power of 10 and get 59049.

$$2044909704+59049$$

Add 2044909704 and 59049 to get 2044968753.

$$2044968753$$

Factor

$$3\times 89\times 7659059$$