Solve (4/9)^frac{1{2}}+(-3.25)^0+(0.008)^-frac{1{3}}

$$( \frac { 4 } { 9 } ) ^ { \frac { 1 } { 2 } } + ( - 3.25 ) ^ { 0 } + ( 0.008 ) ^ { - \frac { 1 } { 3 } }$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Calculate \frac{4}{9} to the power of \frac{1}{2} and get \frac{2}{3}.

$$\frac{2}{3}+\left(-3.25\right)^{0}+0.008^{-\frac{1}{3}}$$

Calculate -3.25 to the power of 0 and get 1.

$$\frac{2}{3}+1+0.008^{-\frac{1}{3}}$$

Add \frac{2}{3} and 1 to get \frac{5}{3}.

$$\frac{5}{3}+0.008^{-\frac{1}{3}}$$

Calculate 0.008 to the power of -\frac{1}{3} and get 5.

$$\frac{5}{3}+5$$

Add \frac{5}{3} and 5 to get \frac{20}{3}.

$$\frac{20}{3}$$

Factor

$$\frac{5 \cdot 2 ^ {2}}{3} = 6\frac{2}{3} = 6.666666666666667$$