Solve (sqrt{2})^3divsqrt{2}-frac{sqrt{5}}{5}*sqrt{5}

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

Evaluate

$$1$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 3 to get 2.

$$2-\frac{\sqrt{5}}{5}\sqrt{5}$$

Express \frac{\sqrt{5}}{5}\sqrt{5} as a single fraction.

$$2-\frac{\sqrt{5}\sqrt{5}}{5}$$

Multiply \sqrt{5} and \sqrt{5} to get 5.

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

Divide 5 by 5 to get 1.

$$2-1$$

Subtract 1 from 2 to get 1.

$$1$$

Factor

$$1$$