Solve (-1/250*5^4+3/250*5^2)+5)

$$( - \frac { 1 } { 250 } \cdot 5 ^ { 4 } + \frac { 3 } { 250 } \cdot 5 ^ { 2 } ) + 5 )$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Calculate 5 to the power of 4 and get 625.

$$-\frac{1}{250}\times 625+\frac{3}{250}\times 5^{2}+5$$

Express -\frac{1}{250}\times 625 as a single fraction.

$$\frac{-625}{250}+\frac{3}{250}\times 5^{2}+5$$

Reduce the fraction \frac{-625}{250} to lowest terms by extracting and canceling out 125.

$$-\frac{5}{2}+\frac{3}{250}\times 5^{2}+5$$

Calculate 5 to the power of 2 and get 25.

$$-\frac{5}{2}+\frac{3}{250}\times 25+5$$

Express \frac{3}{250}\times 25 as a single fraction.

$$-\frac{5}{2}+\frac{3\times 25}{250}+5$$

Multiply 3 and 25 to get 75.

$$-\frac{5}{2}+\frac{75}{250}+5$$

Reduce the fraction \frac{75}{250} to lowest terms by extracting and canceling out 25.

$$-\frac{5}{2}+\frac{3}{10}+5$$

Least common multiple of 2 and 10 is 10. Convert -\frac{5}{2} and \frac{3}{10} to fractions with denominator 10.

$$-\frac{25}{10}+\frac{3}{10}+5$$

Since -\frac{25}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{-25+3}{10}+5$$

Add -25 and 3 to get -22.

$$\frac{-22}{10}+5$$

Reduce the fraction \frac{-22}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{11}{5}+5$$

Convert 5 to fraction \frac{25}{5}.

$$-\frac{11}{5}+\frac{25}{5}$$

Since -\frac{11}{5} and \frac{25}{5} have the same denominator, add them by adding their numerators.

$$\frac{-11+25}{5}$$

Add -11 and 25 to get 14.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$