Solve (8/27)^frac{2{3}}+9^-frac{1{2}}-1^0,55

$$( \frac { 8 } { 27 } ) ^ { \frac { 2 } { 3 } } + 9 ^ { - \frac { 1 } { 2 } } - 1 ^ { 0,55 }$$

Evaluate

$$-\frac{2}{9}\approx -0,222222222$$

Solution Steps

Calculate \frac{8}{27} to the power of \frac{2}{3} and get \frac{4}{9}.

$$\frac{4}{9}+9^{-\frac{1}{2}}-1^{0,55}$$

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

$$\frac{4}{9}+\frac{1}{3}-1^{0,55}$$

Add \frac{4}{9} and \frac{1}{3} to get \frac{7}{9}.

$$\frac{7}{9}-1^{0,55}$$

Calculate 1 to the power of 0,55 and get 1.

$$\frac{7}{9}-1$$

Subtract 1 from \frac{7}{9} to get -\frac{2}{9}.

$$-\frac{2}{9}$$

Factor

$$-\frac{2}{9} = -0.2222222222222222$$