Solve 1*10^3/1.732*220*0.72*0.73

$$\frac{ 1 \times { 10 }^{ 3 } }{ 1.732 \times 220 \times 0.72 \times 0.73 }$$

Evaluate

$$\frac{15625000}{3129291}\approx 4.993143814$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{1\times 1000}{1.732\times 220\times 0.72\times 0.73}$$

Multiply 1 and 1000 to get 1000.

$$\frac{1000}{1.732\times 220\times 0.72\times 0.73}$$

Multiply 1.732 and 220 to get 381.04.

$$\frac{1000}{381.04\times 0.72\times 0.73}$$

Multiply 381.04 and 0.72 to get 274.3488.

$$\frac{1000}{274.3488\times 0.73}$$

Multiply 274.3488 and 0.73 to get 200.274624.

$$\frac{1000}{200.274624}$$

Expand \frac{1000}{200.274624} by multiplying both numerator and the denominator by 1000000.

$$\frac{1000000000}{200274624}$$

Reduce the fraction \frac{1000000000}{200274624} to lowest terms by extracting and canceling out 64.

$$\frac{15625000}{3129291}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {9}}{11 \cdot 73 \cdot 433 \cdot 3 ^ {2}} = 4\frac{3107836}{3129291} = 4.993143814365618$$