Resolver {[(7^{2}+5*2^{3}-5^{2}):2^{4}+(4^{2}-2^{2}*3)^4:4^2-3*2^2]:2^3}+2

$$\{ [ ( 7 ^ { 2 } + 5 \times 2 ^ { 3 } - 5 ^ { 2 } ) : 2 ^ { 4 } + ( 4 ^ { 2 } - 2 ^ { 2 } \times 3 ) ^ { 4 } : 4 ^ { 2 } - 3 \times 2 ^ { 2 } ] : 2 ^ { 3 } \} + 2$$

Avaliar

$$3$$

Passos Para a Resolução

Calcule 7 elevado a 2 e obtenha 49.

$$\frac{\frac{49+5\times 2^{3}-5^{2}}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Calcule 2 elevado a 3 e obtenha 8.

$$\frac{\frac{49+5\times 8-5^{2}}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Multiplique 5 e 8 para obter 40.

$$\frac{\frac{49+40-5^{2}}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Some 49 e 40 para obter 89.

$$\frac{\frac{89-5^{2}}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Calcule 5 elevado a 2 e obtenha 25.

$$\frac{\frac{89-25}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Subtraia 25 de 89 para obter 64.

$$\frac{\frac{64}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Calcule 2 elevado a 4 e obtenha 16.

$$\frac{\frac{64}{16}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Dividir 64 por 16 para obter 4.

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

Calcule 4 elevado a 2 e obtenha 16.

$$\frac{4+\frac{\left(16-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Calcule 2 elevado a 2 e obtenha 4.

$$\frac{4+\frac{\left(16-4\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Multiplique 4 e 3 para obter 12.

$$\frac{4+\frac{\left(16-12\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Subtraia 12 de 16 para obter 4.

$$\frac{4+\frac{4^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Calcule 4 elevado a 4 e obtenha 256.

$$\frac{4+\frac{256}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

Calcule 4 elevado a 2 e obtenha 16.

$$\frac{4+\frac{256}{16}-3\times 2^{2}}{2^{3}}+2$$

Dividir 256 por 16 para obter 16.

$$\frac{4+16-3\times 2^{2}}{2^{3}}+2$$

Some 4 e 16 para obter 20.

$$\frac{20-3\times 2^{2}}{2^{3}}+2$$

Calcule 2 elevado a 2 e obtenha 4.

$$\frac{20-3\times 4}{2^{3}}+2$$

Multiplique 3 e 4 para obter 12.

$$\frac{20-12}{2^{3}}+2$$

Subtraia 12 de 20 para obter 8.

$$\frac{8}{2^{3}}+2$$

Calcule 2 elevado a 3 e obtenha 8.

$$\frac{8}{8}+2$$

Dividir 8 por 8 para obter 1.

$$1+2$$

Some 1 e 2 para obter 3.

$$3$$

Fatorizar

$$3$$