Solve (-1/5)^3*5^2div1/5

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

Evaluate

$$-1$$

Solution Steps

Calculate -\frac{1}{5} to the power of 3 and get -\frac{1}{125}.

$$\frac{-\frac{1}{125}\times 5^{2}}{\frac{1}{5}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{-\frac{1}{125}\times 25}{\frac{1}{5}}$$

Express -\frac{1}{125}\times 25 as a single fraction.

$$\frac{\frac{-25}{125}}{\frac{1}{5}}$$

Reduce the fraction \frac{-25}{125} to lowest terms by extracting and canceling out 25.

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

Divide -\frac{1}{5} by \frac{1}{5} to get -1.

$$-1$$

Factor

$$-1$$