Resolver 3^-2(frac{1/5)^-3sqrt[3]{23}}{3-1/3-2*(-1/2+1)}=

$$\frac { 3 ^ { - 2 } ( \frac { 1 } { 5 } ) ^ { - 3 } \sqrt[ 3 ] { 23 } } { 3 - \frac { 1 } { 3 } - 2 \cdot ( - \frac { 1 } { 2 } + 1 ) } =$$

Avaliar

$$\frac{25\sqrt[3]{23}}{3}\approx 23,698891499$$

Passos Para a Resolução

Calcule 3 elevado a -2 e obtenha \frac{1}{9}.

$$\frac{\frac{1}{9}\times \left(\frac{1}{5}\right)^{-3}\sqrt[3]{23}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Calcule \frac{1}{5} elevado a -3 e obtenha 125.

$$\frac{\frac{1}{9}\times 125\sqrt[3]{23}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Multiplique \frac{1}{9} e 125 para obter \frac{125}{9}.

$$\frac{\frac{125}{9}\sqrt[3]{23}}{3-\frac{1}{3}-2\left(-\frac{1}{2}+1\right)}$$

Subtraia \frac{1}{3} de 3 para obter \frac{8}{3}.

$$\frac{\frac{125}{9}\sqrt[3]{23}}{\frac{8}{3}-2\left(-\frac{1}{2}+1\right)}$$

Some -\frac{1}{2} e 1 para obter \frac{1}{2}.

$$\frac{\frac{125}{9}\sqrt[3]{23}}{\frac{8}{3}-2\times \frac{1}{2}}$$

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

$$\frac{\frac{125}{9}\sqrt[3]{23}}{\frac{8}{3}-1}$$

Subtraia 1 de \frac{8}{3} para obter \frac{5}{3}.

$$\frac{\frac{125}{9}\sqrt[3]{23}}{\frac{5}{3}}$$

Divida \frac{125}{9}\sqrt[3]{23} por \frac{5}{3} ao multiplicar \frac{125}{9}\sqrt[3]{23} pelo recíproco de \frac{5}{3}.

$$\frac{\frac{125}{9}\sqrt[3]{23}\times 3}{5}$$

Multiplique \frac{125}{9} e 3 para obter \frac{125}{3}.

$$\frac{\frac{125}{3}\sqrt[3]{23}}{5}$$

Dividir \frac{125}{3}\sqrt[3]{23} por 5 para obter \frac{25}{3}\sqrt[3]{23}.

$$\frac{25}{3}\sqrt[3]{23}$$