Solve 3/5(-2+1)^frac{5{3}}+3/2(-2+1)^frac{4{3}}+(-2)

$$\frac { 3 } { 5 } ( - 2 + 1 ) ^ { \frac { 5 } { 3 } } + \frac { 3 } { 2 } ( - 2 + 1 ) ^ { \frac { 4 } { 3 } } + ( - 2 )$$

Evaluate

$$-\frac{11}{10}=-1.1$$

Solution Steps

Add -2 and 1 to get -1.

$$\frac{3}{5}\left(-1\right)^{\frac{5}{3}}+\frac{3}{2}\left(-2+1\right)^{\frac{4}{3}}-2$$

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

$$\frac{3}{5}\left(-1\right)+\frac{3}{2}\left(-2+1\right)^{\frac{4}{3}}-2$$

Multiply \frac{3}{5} and -1 to get -\frac{3}{5}.

$$-\frac{3}{5}+\frac{3}{2}\left(-2+1\right)^{\frac{4}{3}}-2$$

Add -2 and 1 to get -1.

$$-\frac{3}{5}+\frac{3}{2}\left(-1\right)^{\frac{4}{3}}-2$$

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

$$-\frac{3}{5}+\frac{3}{2}\times 1-2$$

Multiply \frac{3}{2} and 1 to get \frac{3}{2}.

$$-\frac{3}{5}+\frac{3}{2}-2$$

Add -\frac{3}{5} and \frac{3}{2} to get \frac{9}{10}.

$$\frac{9}{10}-2$$

Subtract 2 from \frac{9}{10} to get -\frac{11}{10}.

$$-\frac{11}{10}$$

Factor

$$-\frac{11}{10} = -1\frac{1}{10} = -1.1$$