Solve -2^2-(1-1/5*0.2)div-2^3

$$- { 2 }^{ 2 } -(1- \frac{ 1 }{ 5 } \times 0.2) \div { -2 }^{ 3 }$$

Evaluate

$$-3.88$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$-4-\frac{1-\frac{1}{5}\times \frac{1}{5}}{\left(-2\right)^{3}}$$

Multiply \frac{1}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$-4-\frac{1-\frac{1\times 1}{5\times 5}}{\left(-2\right)^{3}}$$

Do the multiplications in the fraction \frac{1\times 1}{5\times 5}.

$$-4-\frac{1-\frac{1}{25}}{\left(-2\right)^{3}}$$

Convert 1 to fraction \frac{25}{25}.

$$-4-\frac{\frac{25}{25}-\frac{1}{25}}{\left(-2\right)^{3}}$$

Since \frac{25}{25} and \frac{1}{25} have the same denominator, subtract them by subtracting their numerators.

$$-4-\frac{\frac{25-1}{25}}{\left(-2\right)^{3}}$$

Subtract 1 from 25 to get 24.

$$-4-\frac{\frac{24}{25}}{\left(-2\right)^{3}}$$

Calculate -2 to the power of 3 and get -8.

$$-4-\frac{\frac{24}{25}}{-8}$$

Express \frac{\frac{24}{25}}{-8} as a single fraction.

$$-4-\frac{24}{25\left(-8\right)}$$

Multiply 25 and -8 to get -200.

$$-4-\frac{24}{-200}$$

Reduce the fraction \frac{24}{-200} to lowest terms by extracting and canceling out 8.

$$-4-\left(-\frac{3}{25}\right)$$

The opposite of -\frac{3}{25} is \frac{3}{25}.

$$-4+\frac{3}{25}$$

Convert -4 to fraction -\frac{100}{25}.

$$-\frac{100}{25}+\frac{3}{25}$$

Since -\frac{100}{25} and \frac{3}{25} have the same denominator, add them by adding their numerators.

$$\frac{-100+3}{25}$$

Add -100 and 3 to get -97.

$$-\frac{97}{25}$$

Factor

$$-3.88$$