Solve 1div[10^2*4^2*3.14div(400*10^5)]

$$1 \div [ 10 ^ { 2 } \times 4 ^ { 2 } \times 3.14 \div ( 400 \times 10 ^ { 5 } ) ]$$

Evaluate

$$\frac{1250000}{157}\approx 7961.78343949$$

Solution Steps

Divide 1 by \frac{10^{2}\times 4^{2}\times 3.14}{400\times 10^{5}} by multiplying 1 by the reciprocal of \frac{10^{2}\times 4^{2}\times 3.14}{400\times 10^{5}}.

$$\frac{400\times 10^{5}}{10^{2}\times 4^{2}\times 3.14}$$

Cancel out 10^{2} in both numerator and denominator.

$$\frac{400\times 10^{3}}{3.14\times 4^{2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{400\times 1000}{3.14\times 4^{2}}$$

Multiply 400 and 1000 to get 400000.

$$\frac{400000}{3.14\times 4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{400000}{3.14\times 16}$$

Multiply 3.14 and 16 to get 50.24.

$$\frac{400000}{50.24}$$

Expand \frac{400000}{50.24} by multiplying both numerator and the denominator by 100.

$$\frac{40000000}{5024}$$

Reduce the fraction \frac{40000000}{5024} to lowest terms by extracting and canceling out 32.

$$\frac{1250000}{157}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {7}}{157} = 7961\frac{123}{157} = 7961.783439490446$$