Resolver 66*10^-34*3*10^8/66*10^-34*3*10^8/290*{10^-9}+15*16*{10}^-19

$$\frac{ \frac{ 66 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 66 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } } }{ 290 \times { 10 }^{ -9 } } +15 \times 16 \times { 10 }^{ -19 }$$

Calcular

$$\frac{12500000000000000000000087}{3625000000000000000}\approx 3448275.862068966$$

Pasos da solución

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

$$\frac{\frac{66\times 10^{-26}\times 3}{66\times 10^{-34}\times 3\times 10^{8}}}{290\times 10^{-9}}+15\times 16\times 10^{-19}$$

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

$$\frac{\frac{66\times 10^{-26}\times 3}{66\times 10^{-26}\times 3}}{290\times 10^{-9}}+15\times 16\times 10^{-19}$$

Divide 66\times 10^{-26}\times 3 entre 66\times 10^{-26}\times 3 para obter 1.

$$\frac{1}{290\times 10^{-9}}+15\times 16\times 10^{-19}$$

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

$$\frac{1}{290\times \frac{1}{1000000000}}+15\times 16\times 10^{-19}$$

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

$$\frac{1}{\frac{29}{100000000}}+15\times 16\times 10^{-19}$$

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

$$1\times \frac{100000000}{29}+15\times 16\times 10^{-19}$$

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

$$\frac{100000000}{29}+15\times 16\times 10^{-19}$$

Multiplica 15 e 16 para obter 240.

$$\frac{100000000}{29}+240\times 10^{-19}$$

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

$$\frac{100000000}{29}+240\times \frac{1}{10000000000000000000}$$

Multiplica 240 e \frac{1}{10000000000000000000} para obter \frac{3}{125000000000000000}.

$$\frac{100000000}{29}+\frac{3}{125000000000000000}$$

Suma \frac{100000000}{29} e \frac{3}{125000000000000000} para obter \frac{12500000000000000000000087}{3625000000000000000}.

$$\frac{12500000000000000000000087}{3625000000000000000}$$

Factorizar

$$\frac{115849 \cdot 107899075520720938463}{2 ^ {15} \cdot 5 ^ {18} \cdot 29} = 3448275\frac{3.125000000595591 \times 10^{18}}{3.625 \times 10^{18}} = 3448275.8620689656$$