Solve 3^5*10^5*125/5^7*6^5

$$\frac { 3 ^ { 5 } \times 10 ^ { 5 } \times 125 } { 5 ^ { 7 } \times 6 ^ { 5 } }$$

Evaluate

$$5$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$\frac{243\times 10^{5}\times 125}{5^{7}\times 6^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{243\times 100000\times 125}{5^{7}\times 6^{5}}$$

Multiply 243 and 100000 to get 24300000.

$$\frac{24300000\times 125}{5^{7}\times 6^{5}}$$

Multiply 24300000 and 125 to get 3037500000.

$$\frac{3037500000}{5^{7}\times 6^{5}}$$

Calculate 5 to the power of 7 and get 78125.

$$\frac{3037500000}{78125\times 6^{5}}$$

Calculate 6 to the power of 5 and get 7776.

$$\frac{3037500000}{78125\times 7776}$$

Multiply 78125 and 7776 to get 607500000.

$$\frac{3037500000}{607500000}$$

Divide 3037500000 by 607500000 to get 5.

$$5$$

Factor

$$5$$