Solve 0.004{left(1/2-0*3right)}^-1-sqrt{0.2*0.5^-1}+3/4

$$0.004 { \left( \frac{ 1 }{ 2 } -0 \cdot 3 \right) }^{ -1 } - \sqrt{ 0.2 \times 0. { 5 }^{ -1 } } + \frac{ 3 }{ 4 }$$

Evaluate

$$0.758$$

Solution Steps

Multiply 0 and 3 to get 0.

$$0.004\left(\frac{1}{2}-0\right)^{-1}-\sqrt{0.2\times 0\times 5^{-1}}+\frac{3}{4}$$

Subtract 0 from \frac{1}{2} to get \frac{1}{2}.

$$0.004\times \left(\frac{1}{2}\right)^{-1}-\sqrt{0.2\times 0\times 5^{-1}}+\frac{3}{4}$$

Calculate \frac{1}{2} to the power of -1 and get 2.

$$0.004\times 2-\sqrt{0.2\times 0\times 5^{-1}}+\frac{3}{4}$$

Multiply 0.004 and 2 to get 0.008.

$$0.008-\sqrt{0.2\times 0\times 5^{-1}}+\frac{3}{4}$$

Multiply 0.2 and 0 to get 0.

$$0.008-\sqrt{0\times 5^{-1}}+\frac{3}{4}$$

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

$$0.008-\sqrt{0\times \frac{1}{5}}+\frac{3}{4}$$

Multiply 0 and \frac{1}{5} to get 0.

$$0.008-\sqrt{0}+\frac{3}{4}$$

Calculate the square root of 0 and get 0.

$$0.008-0+\frac{3}{4}$$

Multiply -1 and 0 to get 0.

$$0.008+0+\frac{3}{4}$$

Add 0.008 and 0 to get 0.008.

$$0.008+\frac{3}{4}$$

Add 0.008 and \frac{3}{4} to get \frac{379}{500}.

$$\frac{379}{500}$$

Factor

$$\frac{379}{2 ^ {2} \cdot 5 ^ {3}} = 0.758$$