Solve 144^3/6*15/1001

$$\frac { 144 ^ { 3 } } { 6 } \times \frac { 15 } { 1001 }$$

Evaluate

$$\frac{7464960}{1001}\approx 7457.502497502$$

Solution Steps

Calculate 144 to the power of 3 and get 2985984.

$$\frac{2985984}{6}\times \frac{15}{1001}$$

Divide 2985984 by 6 to get 497664.

$$497664\times \frac{15}{1001}$$

Express 497664\times \frac{15}{1001} as a single fraction.

$$\frac{497664\times 15}{1001}$$

Multiply 497664 and 15 to get 7464960.

$$\frac{7464960}{1001}$$

Factor

$$\frac{2 ^ {11} \cdot 3 ^ {6} \cdot 5}{7 \cdot 11 \cdot 13} = 7457\frac{503}{1001} = 7457.502497502497$$