Solve (6.6310^-348.85*10^-12)*1/1*1.6*10^-19*9.1*10^-31

$$(6.63 { 10 }^{ -34 } 8.85 \times { 10 }^{ -12 } ) \times \frac{ 1 }{ 1 \times 1.6 \times { 10 }^{ -19 } \times 9.1 \times { 10 }^{ -31 } }$$

Evaluate

$$\frac{1128375}{28}\approx 40299.107142857$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -19 and -31 to get -50.

$$6.63\times 10^{-34}\times 8.85\times 10^{-12}\times \frac{1}{1\times 1.6\times 10^{-50}\times 9.1}$$

To multiply powers of the same base, add their exponents. Add -34 and -12 to get -46.

$$6.63\times 10^{-46}\times 8.85\times \frac{1}{1\times 1.6\times 10^{-50}\times 9.1}$$

Calculate 10 to the power of -46 and get \frac{1}{10000000000000000000000000000000000000000000000}.

$$6.63\times \frac{1}{10000000000000000000000000000000000000000000000}\times 8.85\times \frac{1}{1\times 1.6\times 10^{-50}\times 9.1}$$

Multiply 6.63 and \frac{1}{10000000000000000000000000000000000000000000000} to get \frac{663}{1000000000000000000000000000000000000000000000000}.

$$\frac{663}{1000000000000000000000000000000000000000000000000}\times 8.85\times \frac{1}{1\times 1.6\times 10^{-50}\times 9.1}$$

Multiply \frac{663}{1000000000000000000000000000000000000000000000000} and 8.85 to get \frac{117351}{20000000000000000000000000000000000000000000000000}.

$$\frac{117351}{20000000000000000000000000000000000000000000000000}\times \frac{1}{1\times 1.6\times 10^{-50}\times 9.1}$$

Multiply 1 and 1.6 to get 1.6.

$$\frac{117351}{20000000000000000000000000000000000000000000000000}\times \frac{1}{1.6\times 10^{-50}\times 9.1}$$

Calculate 10 to the power of -50 and get \frac{1}{100000000000000000000000000000000000000000000000000}.

$$\frac{117351}{20000000000000000000000000000000000000000000000000}\times \frac{1}{1.6\times \frac{1}{100000000000000000000000000000000000000000000000000}\times 9.1}$$

Multiply 1.6 and \frac{1}{100000000000000000000000000000000000000000000000000} to get \frac{1}{62500000000000000000000000000000000000000000000000}.

$$\frac{117351}{20000000000000000000000000000000000000000000000000}\times \frac{1}{\frac{1}{62500000000000000000000000000000000000000000000000}\times 9.1}$$

Multiply \frac{1}{62500000000000000000000000000000000000000000000000} and 9.1 to get \frac{91}{625000000000000000000000000000000000000000000000000}.

$$\frac{117351}{20000000000000000000000000000000000000000000000000}\times \frac{1}{\frac{91}{625000000000000000000000000000000000000000000000000}}$$

Divide 1 by \frac{91}{625000000000000000000000000000000000000000000000000} by multiplying 1 by the reciprocal of \frac{91}{625000000000000000000000000000000000000000000000000}.

$$\frac{117351}{20000000000000000000000000000000000000000000000000}\times 1\times \frac{625000000000000000000000000000000000000000000000000}{91}$$

Multiply 1 and \frac{625000000000000000000000000000000000000000000000000}{91} to get \frac{625000000000000000000000000000000000000000000000000}{91}.

$$\frac{117351}{20000000000000000000000000000000000000000000000000}\times \frac{625000000000000000000000000000000000000000000000000}{91}$$

Multiply \frac{117351}{20000000000000000000000000000000000000000000000000} and \frac{625000000000000000000000000000000000000000000000000}{91} to get \frac{1128375}{28}.

$$\frac{1128375}{28}$$

Factor

$$\frac{17 \cdot 59 \cdot 3 ^ {2} \cdot 5 ^ {3}}{7 \cdot 2 ^ {2}} = 40299\frac{3}{28} = 40299.107142857145$$