Resolver 4*10^-5*4*10^-5/0.79^2*9*10^9/2.2=

$$\frac { 4 \cdot 10 ^ { - 5 } \cdot 4 \cdot 10 ^ { - 5 } } { 0.79 ^ { 2 } } \cdot \frac { 9 \cdot 10 ^ { 9 } } { 2.2 } =$$

Calcular

$$\frac{720000}{68651}\approx 10.487829748$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -5 e -5 para obter -10.

$$\frac{4\times 10^{-10}\times 4}{0.79^{2}}\times \frac{9\times 10^{9}}{2.2}$$

Calcula 10 á potencia de -10 e obtén \frac{1}{10000000000}.

$$\frac{4\times \frac{1}{10000000000}\times 4}{0.79^{2}}\times \frac{9\times 10^{9}}{2.2}$$

Multiplica 4 e \frac{1}{10000000000} para obter \frac{1}{2500000000}.

$$\frac{\frac{1}{2500000000}\times 4}{0.79^{2}}\times \frac{9\times 10^{9}}{2.2}$$

Multiplica \frac{1}{2500000000} e 4 para obter \frac{1}{625000000}.

$$\frac{\frac{1}{625000000}}{0.79^{2}}\times \frac{9\times 10^{9}}{2.2}$$

Calcula 0.79 á potencia de 2 e obtén 0.6241.

$$\frac{\frac{1}{625000000}}{0.6241}\times \frac{9\times 10^{9}}{2.2}$$

Expresa \frac{\frac{1}{625000000}}{0.6241} como unha única fracción.

$$\frac{1}{625000000\times 0.6241}\times \frac{9\times 10^{9}}{2.2}$$

Multiplica 625000000 e 0.6241 para obter 390062500.

$$\frac{1}{390062500}\times \frac{9\times 10^{9}}{2.2}$$

Calcula 10 á potencia de 9 e obtén 1000000000.

$$\frac{1}{390062500}\times \frac{9\times 1000000000}{2.2}$$

Multiplica 9 e 1000000000 para obter 9000000000.

$$\frac{1}{390062500}\times \frac{9000000000}{2.2}$$

Expande \frac{9000000000}{2.2} multiplicando o numerador e o denominador por 10.

$$\frac{1}{390062500}\times \frac{90000000000}{22}$$

Reduce a fracción \frac{90000000000}{22} a termos máis baixos extraendo e cancelando 2.

$$\frac{1}{390062500}\times \frac{45000000000}{11}$$

Multiplica \frac{1}{390062500} e \frac{45000000000}{11} para obter \frac{720000}{68651}.

$$\frac{720000}{68651}$$

Factorizar

$$\frac{2 ^ {7} \cdot 3 ^ {2} \cdot 5 ^ {4}}{11 \cdot 79 ^ {2}} = 10\frac{33490}{68651} = 10.487829747563765$$