Solve -0,004*(1/8-0,3)^-1-sqrt{0,2*0,5^-7}+2/4=

$$- 0,004 \cdot ( \frac { 1 } { 8 } - 0,3 ) ^ { - 1 } - \sqrt { 0,2 \cdot 0,5 ^ { - 7 } } + \frac { 2 } { 4 } =$$

Evaluate

$$\frac{183}{350}\approx 0,522857143$$

Solution Steps

Subtract 0,3 from \frac{1}{8} to get -\frac{7}{40}.

$$-0,004\left(-\frac{7}{40}\right)^{-1}-\sqrt{0,2\times 0\times 5^{-7}}+\frac{2}{4}$$

Calculate -\frac{7}{40} to the power of -1 and get -\frac{40}{7}.

$$-0,004\left(-\frac{40}{7}\right)-\sqrt{0,2\times 0\times 5^{-7}}+\frac{2}{4}$$

Multiply -0,004 and -\frac{40}{7} to get \frac{4}{175}.

$$\frac{4}{175}-\sqrt{0,2\times 0\times 5^{-7}}+\frac{2}{4}$$

Multiply 0,2 and 0 to get 0.

$$\frac{4}{175}-\sqrt{0\times 5^{-7}}+\frac{2}{4}$$

Calculate 5 to the power of -7 and get \frac{1}{78125}.

$$\frac{4}{175}-\sqrt{0\times \frac{1}{78125}}+\frac{2}{4}$$

Multiply 0 and \frac{1}{78125} to get 0.

$$\frac{4}{175}-\sqrt{0}+\frac{2}{4}$$

Calculate the square root of 0 and get 0.

$$\frac{4}{175}-0+\frac{2}{4}$$

Multiply -1 and 0 to get 0.

$$\frac{4}{175}+0+\frac{2}{4}$$

Add \frac{4}{175} and 0 to get \frac{4}{175}.

$$\frac{4}{175}+\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{4}{175}+\frac{1}{2}$$

Add \frac{4}{175} and \frac{1}{2} to get \frac{183}{350}.

$$\frac{183}{350}$$

Factor

$$\frac{3 \cdot 61}{2 \cdot 7 \cdot 5 ^ {2}} = 0.5228571428571429$$