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

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

Avaliar

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

Passos Para a Resolução

Some -2 e 1 para obter -1.

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

Calcule -1 elevado a \frac{5}{3} e obtenha -1.

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

Multiplique \frac{3}{5} e -1 para obter -\frac{3}{5}.

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

Some -2 e 1 para obter -1.

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

Calcule -1 elevado a \frac{4}{3} e obtenha 1.

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

Multiplique \frac{3}{2} e 1 para obter \frac{3}{2}.

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

Some -\frac{3}{5} e \frac{3}{2} para obter \frac{9}{10}.

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

Subtraia 2 de \frac{9}{10} para obter -\frac{11}{10}.

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

Fatorizar

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