Resolver =(3^-10*7*2^-3)^2

$$= ( 3 ^ { - 10 } \times 7 \times 2 ^ { - 3 } ) ^ { 2 }$$

Calcular

$$\frac{49}{223154201664}\approx 2.195791055 \cdot 10^{-10}$$

Pasos da solución

Calcula 3 á potencia de -10 e obtén \frac{1}{59049}.

$$\left(\frac{1}{59049}\times 7\times 2^{-3}\right)^{2}$$

Multiplica \frac{1}{59049} e 7 para obter \frac{7}{59049}.

$$\left(\frac{7}{59049}\times 2^{-3}\right)^{2}$$

Calcula 2 á potencia de -3 e obtén \frac{1}{8}.

$$\left(\frac{7}{59049}\times \frac{1}{8}\right)^{2}$$

Multiplica \frac{7}{59049} e \frac{1}{8} para obter \frac{7}{472392}.

$$\left(\frac{7}{472392}\right)^{2}$$

Calcula \frac{7}{472392} á potencia de 2 e obtén \frac{49}{223154201664}.

$$\frac{49}{223154201664}$$

Factorizar

$$\frac{7 ^ {2}}{2 ^ {6} \cdot 3 ^ {20}} = 2.1957910554504627 \times 10^{-10}$$