Solve 5*(1/5)^2-16*1/5

$$5 \cdot ( \frac { 1 } { 5 } ) ^ { 2 } - 16 \cdot \frac { 1 } { 5 }$$

Evaluate

$$-3$$

Solution Steps

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

$$5\times \frac{1}{25}-16\times \frac{1}{5}$$

Multiply 5 and \frac{1}{25} to get \frac{5}{25}.

$$\frac{5}{25}-16\times \frac{1}{5}$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$\frac{1}{5}-16\times \frac{1}{5}$$

Multiply 16 and \frac{1}{5} to get \frac{16}{5}.

$$\frac{1}{5}-\frac{16}{5}$$

Since \frac{1}{5} and \frac{16}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-16}{5}$$

Subtract 16 from 1 to get -15.

$$\frac{-15}{5}$$

Divide -15 by 5 to get -3.

$$-3$$

Factor

$$-3$$