Solve (-0,5)^3+(1/5)^2

$$( - 0,5 ) ^ { 3 } + ( \frac { 1 } { 5 } ) ^ { 2 }$$

Evaluate

$$-0,085$$

Solution Steps

Calculate -0,5 to the power of 3 and get -0,125.

$$-0,125+\left(\frac{1}{5}\right)^{2}$$

Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$-0,125+\frac{1}{25}$$

Convert decimal number -0,125 to fraction -\frac{125}{1000}. Reduce the fraction -\frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$-\frac{1}{8}+\frac{1}{25}$$

Least common multiple of 8 and 25 is 200. Convert -\frac{1}{8} and \frac{1}{25} to fractions with denominator 200.

$$-\frac{25}{200}+\frac{8}{200}$$

Since -\frac{25}{200} and \frac{8}{200} have the same denominator, add them by adding their numerators.

$$\frac{-25+8}{200}$$

Add -25 and 8 to get -17.

$$-\frac{17}{200}$$

Factor

$$-0,085$$