Solve frac{11^{1}*6^1*7^2*5^3}{7*3^2}=

$$\frac { 11 ^ { 1 } \times 6 ^ { 1 } \times 7 ^ { 2 } \times 5 ^ { 3 } } { 7 \times 3 ^ { 2 } } =$$

Evaluate

$$\frac{19250}{3}\approx 6416.666666667$$

Solution Steps

Cancel out 7 in both numerator and denominator.

$$\frac{7\times 5^{3}\times 6^{1}\times 11^{1}}{3^{2}}$$

Calculate 5 to the power of 3 and get 125.

$$\frac{7\times 125\times 6^{1}\times 11^{1}}{3^{2}}$$

Multiply 7 and 125 to get 875.

$$\frac{875\times 6^{1}\times 11^{1}}{3^{2}}$$

Calculate 6 to the power of 1 and get 6.

$$\frac{875\times 6\times 11^{1}}{3^{2}}$$

Multiply 875 and 6 to get 5250.

$$\frac{5250\times 11^{1}}{3^{2}}$$

Calculate 11 to the power of 1 and get 11.

$$\frac{5250\times 11}{3^{2}}$$

Multiply 5250 and 11 to get 57750.

$$\frac{57750}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{57750}{9}$$

Reduce the fraction \frac{57750}{9} to lowest terms by extracting and canceling out 3.

$$\frac{19250}{3}$$

Factor

$$\frac{2 \cdot 5 ^ {3} \cdot 7 \cdot 11}{3} = 6416\frac{2}{3} = 6416.666666666667$$