Resolver 667*10^-14*74*10^12/(1740*10^11)^2

$$\frac { 667 \times 10 ^ { - 14 } \times 74 \times 10 ^ { 12 } } { ( 1740 \times 10 ^ { 11 } ) ^ { 2 } }$$

Avaliar

$$\frac{851}{52200000000000000000000000000}\approx 1,630268199 \cdot 10^{-26}$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -14 e 12 para obter -2.

$$\frac{667\times 10^{-2}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

Calcule 10 elevado a -2 e obtenha \frac{1}{100}.

$$\frac{667\times \frac{1}{100}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

Multiplique 667 e \frac{1}{100} para obter \frac{667}{100}.

$$\frac{\frac{667}{100}\times 74}{\left(1740\times 10^{11}\right)^{2}}$$

Multiplique \frac{667}{100} e 74 para obter \frac{24679}{50}.

$$\frac{\frac{24679}{50}}{\left(1740\times 10^{11}\right)^{2}}$$

Calcule 10 elevado a 11 e obtenha 100000000000.

$$\frac{\frac{24679}{50}}{\left(1740\times 100000000000\right)^{2}}$$

Multiplique 1740 e 100000000000 para obter 174000000000000.

$$\frac{\frac{24679}{50}}{174000000000000^{2}}$$

Calcule 174000000000000 elevado a 2 e obtenha 30276000000000000000000000000.

$$\frac{\frac{24679}{50}}{30276000000000000000000000000}$$

Expresse \frac{\frac{24679}{50}}{30276000000000000000000000000} como uma fração única.

$$\frac{24679}{50\times 30276000000000000000000000000}$$

Multiplique 50 e 30276000000000000000000000000 para obter 1513800000000000000000000000000.

$$\frac{24679}{1513800000000000000000000000000}$$

Reduza a fração \frac{24679}{1513800000000000000000000000000} para os termos mais baixos ao retirar e anular 29.

$$\frac{851}{52200000000000000000000000000}$$

Fatorizar

$$\frac{23 \cdot 37}{2 ^ {27} \cdot 3 ^ {2} \cdot 5 ^ {26} \cdot 29} = 1,6302681992337162 \times 10^{-26}$$