Solve (-1/3)^2+sqrt{64/81}-(3/7)^0

$$( \frac { - 1 } { 3 } ) ^ { 2 } + \sqrt { \frac { 64 } { 81 } } - ( \frac { 3 } { 7 } ) ^ { 0 }$$

Evaluate

$$0$$

Solution Steps

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\left(-\frac{1}{3}\right)^{2}+\sqrt{\frac{64}{81}}-\left(\frac{3}{7}\right)^{0}$$

Calculate -\frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{1}{9}+\sqrt{\frac{64}{81}}-\left(\frac{3}{7}\right)^{0}$$

Rewrite the square root of the division \frac{64}{81} as the division of square roots \frac{\sqrt{64}}{\sqrt{81}}. Take the square root of both numerator and denominator.

$$\frac{1}{9}+\frac{8}{9}-\left(\frac{3}{7}\right)^{0}$$

Add \frac{1}{9} and \frac{8}{9} to get 1.

$$1-\left(\frac{3}{7}\right)^{0}$$

Calculate \frac{3}{7} to the power of 0 and get 1.

$$1-1$$

Subtract 1 from 1 to get 0.

$$0$$

Factor

$$0$$