Solve =[(22-5*10^-3]/[4,5*10^-3]^2

$$= \frac { [ ( 22 - 5 \times 10 ^ { - 3 } ] } { [ 4,5 \times 10 ^ { - 3 } ] ^ { 2 } }$$

Evaluate

$$\frac{87980000}{81}\approx 1086172.839506173$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{22-5\times \frac{1}{1000}}{\left(4.5\times 10^{-3}\right)^{2}}$$

Multiply 5 and \frac{1}{1000} to get \frac{1}{200}.

$$\frac{22-\frac{1}{200}}{\left(4.5\times 10^{-3}\right)^{2}}$$

Subtract \frac{1}{200} from 22 to get \frac{4399}{200}.

$$\frac{\frac{4399}{200}}{\left(4.5\times 10^{-3}\right)^{2}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\frac{4399}{200}}{\left(4.5\times \frac{1}{1000}\right)^{2}}$$

Multiply 4.5 and \frac{1}{1000} to get \frac{9}{2000}.

$$\frac{\frac{4399}{200}}{\left(\frac{9}{2000}\right)^{2}}$$

Calculate \frac{9}{2000} to the power of 2 and get \frac{81}{4000000}.

$$\frac{\frac{4399}{200}}{\frac{81}{4000000}}$$

Divide \frac{4399}{200} by \frac{81}{4000000} by multiplying \frac{4399}{200} by the reciprocal of \frac{81}{4000000}.

$$\frac{4399}{200}\times \frac{4000000}{81}$$

Multiply \frac{4399}{200} and \frac{4000000}{81} to get \frac{87980000}{81}.

$$\frac{87980000}{81}$$

Factor

$$\frac{53 \cdot 83 \cdot 2 ^ {5} \cdot 5 ^ {4}}{3 ^ {4}} = 1086172\frac{68}{81} = 1086172.8395061728$$