Solve 100300^3/12+100^3300/12+30000100^2+30000100^2

$$\frac{ 100 { 300 }^{ 3 } }{ 12 } + \frac{ { 100 }^{ 3 } 300 }{ 12 } +30000 { 100 }^{ 2 } +30000 { 100 }^{ 2 }$$

Evaluate

$$850000000$$

Solution Steps

Calculate 300 to the power of 3 and get 27000000.

$$\frac{100\times 27000000}{12}+\frac{100^{3}\times 300}{12}+30000\times 100^{2}+30000\times 100^{2}$$

Multiply 100 and 27000000 to get 2700000000.

$$\frac{2700000000}{12}+\frac{100^{3}\times 300}{12}+30000\times 100^{2}+30000\times 100^{2}$$

Divide 2700000000 by 12 to get 225000000.

$$225000000+\frac{100^{3}\times 300}{12}+30000\times 100^{2}+30000\times 100^{2}$$

Calculate 100 to the power of 3 and get 1000000.

$$225000000+\frac{1000000\times 300}{12}+30000\times 100^{2}+30000\times 100^{2}$$

Multiply 1000000 and 300 to get 300000000.

$$225000000+\frac{300000000}{12}+30000\times 100^{2}+30000\times 100^{2}$$

Divide 300000000 by 12 to get 25000000.

$$225000000+25000000+30000\times 100^{2}+30000\times 100^{2}$$

Add 225000000 and 25000000 to get 250000000.

$$250000000+30000\times 100^{2}+30000\times 100^{2}$$

Calculate 100 to the power of 2 and get 10000.

$$250000000+30000\times 10000+30000\times 100^{2}$$

Multiply 30000 and 10000 to get 300000000.

$$250000000+300000000+30000\times 100^{2}$$

Add 250000000 and 300000000 to get 550000000.

$$550000000+30000\times 100^{2}$$

Calculate 100 to the power of 2 and get 10000.

$$550000000+30000\times 10000$$

Multiply 30000 and 10000 to get 300000000.

$$550000000+300000000$$

Add 550000000 and 300000000 to get 850000000.

$$850000000$$

Factor

$$2^{7}\times 5^{8}\times 17$$