Solve 1/5-frac{{left(frac{1/5right)}^2}{1/5}}{1-3/2}=

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

Evaluate

$$0$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

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

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

$$\frac{\frac{1}{5}-\frac{1}{5}}{1-\frac{3}{2}}$$

Subtract \frac{1}{5} from \frac{1}{5} to get 0.

$$\frac{0}{1-\frac{3}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{0}{\frac{2}{2}-\frac{3}{2}}$$

Since \frac{2}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0}{\frac{2-3}{2}}$$

Subtract 3 from 2 to get -1.

$$\frac{0}{-\frac{1}{2}}$$

Zero divided by any non-zero number gives zero.

$$0$$

Factor

$$0$$