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

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

Avaliar

$$\frac{12500000000000000000000087}{3625000000000000000}\approx 3448275,862068966$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -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 as potências da mesma base, some os seus expoentes. Some -34 e 8 para obter -26.

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

Dividir 66\times 10^{-26}\times 3 por 66\times 10^{-26}\times 3 para obter 1.

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

Calcule 10 elevado a -9 e obtenha \frac{1}{1000000000}.

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

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

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

Divida 1 por \frac{29}{100000000} ao multiplicar 1 pelo recíproco de \frac{29}{100000000}.

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

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

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

Multiplique 15 e 16 para obter 240.

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

Calcule 10 elevado a -19 e obtenha \frac{1}{10000000000000000000}.

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

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

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

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

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

Fatorizar

$$\frac{115849 \cdot 107899075520720938463}{2 ^ {15} \cdot 5 ^ {18} \cdot 29} = 3448275\frac{3,125000000595591 \times 10^{18}}{3,625 \times 10^{18}} = 3448275,8620689656$$