Resolver frac{4^{0}+2^-1}{(-3)^2+5^-3-(-2)^3}

$$\frac { 4 ^ { 0 } + 2 ^ { - 1 } } { ( - 3 ) ^ { 2 } + 5 ^ { - 3 } - ( - 2 ) ^ { 3 } }$$

Avaliar

$$\frac{375}{4252}\approx 0,088193791$$

Passos Para a Resolução

Calcule 4 elevado a 0 e obtenha 1.

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

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

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

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

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

Calcule -3 elevado a 2 e obtenha 9.

$$\frac{\frac{3}{2}}{9+5^{-3}-\left(-2\right)^{3}}$$

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

$$\frac{\frac{3}{2}}{9+\frac{1}{125}-\left(-2\right)^{3}}$$

Some 9 e \frac{1}{125} para obter \frac{1126}{125}.

$$\frac{\frac{3}{2}}{\frac{1126}{125}-\left(-2\right)^{3}}$$

Calcule -2 elevado a 3 e obtenha -8.

$$\frac{\frac{3}{2}}{\frac{1126}{125}-\left(-8\right)}$$

O oposto de -8 é 8.

$$\frac{\frac{3}{2}}{\frac{1126}{125}+8}$$

Some \frac{1126}{125} e 8 para obter \frac{2126}{125}.

$$\frac{\frac{3}{2}}{\frac{2126}{125}}$$

Divida \frac{3}{2} por \frac{2126}{125} ao multiplicar \frac{3}{2} pelo recíproco de \frac{2126}{125}.

$$\frac{3}{2}\times \frac{125}{2126}$$

Multiplique \frac{3}{2} e \frac{125}{2126} para obter \frac{375}{4252}.

$$\frac{375}{4252}$$

Fatorizar

$$\frac{3 \cdot 5 ^ {3}}{2 ^ {2} \cdot 1063} = 0,08819379115710255$$