Solve 282*12^3/(3*10^3)^2

$$\frac { 282 \times 12 ^ { 3 } } { ( 3 \times 10 ^ { 3 } ) ^ { 2 } }$$

Evaluate

$$\frac{846}{15625}=0.054144$$

Solution Steps

Calculate 12 to the power of 3 and get 1728.

$$\frac{282\times 1728}{\left(3\times 10^{3}\right)^{2}}$$

Multiply 282 and 1728 to get 487296.

$$\frac{487296}{\left(3\times 10^{3}\right)^{2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{487296}{\left(3\times 1000\right)^{2}}$$

Multiply 3 and 1000 to get 3000.

$$\frac{487296}{3000^{2}}$$

Calculate 3000 to the power of 2 and get 9000000.

$$\frac{487296}{9000000}$$

Reduce the fraction \frac{487296}{9000000} to lowest terms by extracting and canceling out 576.

$$\frac{846}{15625}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 47}{5 ^ {6}} = 0.054144$$