Resolver (26*300*546*10^-3-286*10^4*300^-2)

$$(26 \times 300 \times 546 \times { 10 }^{ -3 } -286 \times { 10 }^{ 4 } \times { 300 }^{ -2 } )$$

Avaliar

$$\frac{190216}{45}\approx 4227,022222222$$

Passos Para a Resolução

Multiplique 26 e 300 para obter 7800.

$$7800\times 546\times 10^{-3}-286\times 10^{4}\times 300^{-2}$$

Multiplique 7800 e 546 para obter 4258800.

$$4258800\times 10^{-3}-286\times 10^{4}\times 300^{-2}$$

Calcule 10 elevado a -3 e obtenha \frac{1}{1000}.

$$4258800\times \frac{1}{1000}-286\times 10^{4}\times 300^{-2}$$

Multiplique 4258800 e \frac{1}{1000} para obter \frac{21294}{5}.

$$\frac{21294}{5}-286\times 10^{4}\times 300^{-2}$$

Calcule 10 elevado a 4 e obtenha 10000.

$$\frac{21294}{5}-286\times 10000\times 300^{-2}$$

Multiplique 286 e 10000 para obter 2860000.

$$\frac{21294}{5}-2860000\times 300^{-2}$$

Calcule 300 elevado a -2 e obtenha \frac{1}{90000}.

$$\frac{21294}{5}-2860000\times \frac{1}{90000}$$

Multiplique 2860000 e \frac{1}{90000} para obter \frac{286}{9}.

$$\frac{21294}{5}-\frac{286}{9}$$

Subtraia \frac{286}{9} de \frac{21294}{5} para obter \frac{190216}{45}.

$$\frac{190216}{45}$$

Fatorizar

$$\frac{2 ^ {3} \cdot 13 \cdot 31 \cdot 59}{3 ^ {2} \cdot 5} = 4227\frac{1}{45} = 4227,022222222222$$