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

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

Avaliar

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

Passos Para a Resolução

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

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

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

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

Dividir 6.6\times 10^{-26}\times 3 por 6.6\times 10^{-26}\times 3 para obter 1.

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

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

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

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

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

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

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

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

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

Multiplique 1.5 e 1.6 para obter 2.4.

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

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

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

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

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

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

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

Fatorizar

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