Solve 0.004{left(1/2-0.3right)}^-1-sqrt{0.2*0.5^-1}+3/4

$$0.004 { \left( \frac{ 1 }{ 2 } -0.3 \right) }^{ -1 } - \sqrt{ 0.2 \times 0. { 5 }^{ -1 } } + \frac{ 3 }{ 4 }$$

Evaluate

$$0.77$$

Solution Steps

Subtract 0.3 from \frac{1}{2} to get \frac{1}{5}.

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

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

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

Multiply 0.004 and 5 to get 0.02.

$$0.02-\sqrt{0.2\times 0\times 5^{-1}}+\frac{3}{4}$$

Multiply 0.2 and 0 to get 0.

$$0.02-\sqrt{0\times 5^{-1}}+\frac{3}{4}$$

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

$$0.02-\sqrt{0\times \frac{1}{5}}+\frac{3}{4}$$

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

$$0.02-\sqrt{0}+\frac{3}{4}$$

Calculate the square root of 0 and get 0.

$$0.02-0+\frac{3}{4}$$

Multiply -1 and 0 to get 0.

$$0.02+0+\frac{3}{4}$$

Add 0.02 and 0 to get 0.02.

$$0.02+\frac{3}{4}$$

Add 0.02 and \frac{3}{4} to get \frac{77}{100}.

$$\frac{77}{100}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 5 ^ {2}} = 0.77$$