Resolver 6.6*10^-34*3*10^8/6.6*10^-34*3*10^8/290*{10^-9}+1.5*1.6*{10}^-19

$$\frac{ \frac{ 6.6 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 6.6 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } } }{ 290 \times { 10 }^{ -9 } } +1.5 \times 1.6 \times { 10 }^{ -19 }$$

Calcular

$$\frac{1250000000000000000000000087}{362500000000000000000}\approx 3448275.862068966$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -34 e 8 para obter -26.

$$\frac{\frac{6.6\times 10^{-26}\times 3}{6.6\times 10^{-34}\times 3\times 10^{8}}}{290\times 10^{-9}}+1.5\times 1.6\times 10^{-19}$$

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -34 e 8 para obter -26.

$$\frac{\frac{6.6\times 10^{-26}\times 3}{6.6\times 10^{-26}\times 3}}{290\times 10^{-9}}+1.5\times 1.6\times 10^{-19}$$

Divide 6.6\times 10^{-26}\times 3 entre 6.6\times 10^{-26}\times 3 para obter 1.

$$\frac{1}{290\times 10^{-9}}+1.5\times 1.6\times 10^{-19}$$

Calcula 10 á potencia de -9 e obtén \frac{1}{1000000000}.

$$\frac{1}{290\times \frac{1}{1000000000}}+1.5\times 1.6\times 10^{-19}$$

Multiplica 290 e \frac{1}{1000000000} para obter \frac{29}{100000000}.

$$\frac{1}{\frac{29}{100000000}}+1.5\times 1.6\times 10^{-19}$$

Divide 1 entre \frac{29}{100000000} mediante a multiplicación de 1 polo recíproco de \frac{29}{100000000}.

$$1\times \frac{100000000}{29}+1.5\times 1.6\times 10^{-19}$$

Multiplica 1 e \frac{100000000}{29} para obter \frac{100000000}{29}.

$$\frac{100000000}{29}+1.5\times 1.6\times 10^{-19}$$

Multiplica 1.5 e 1.6 para obter 2.4.

$$\frac{100000000}{29}+2.4\times 10^{-19}$$

Calcula 10 á potencia de -19 e obtén \frac{1}{10000000000000000000}.

$$\frac{100000000}{29}+2.4\times \frac{1}{10000000000000000000}$$

Multiplica 2.4 e \frac{1}{10000000000000000000} para obter \frac{3}{12500000000000000000}.

$$\frac{100000000}{29}+\frac{3}{12500000000000000000}$$

Suma \frac{100000000}{29} e \frac{3}{12500000000000000000} para obter \frac{1250000000000000000000000087}{362500000000000000000}.

$$\frac{1250000000000000000000000087}{362500000000000000000}$$

Factorizar

$$\frac{7 \cdot 83 \cdot 173 \cdot 12436202282291842846199}{29 \cdot 2 ^ {17} \cdot 5 ^ {20}} = 3448275\frac{3.1249999994788995 \times 10^{20}}{3.625 \times 10^{20}} = 3448275.8620689656$$