Solve 6.62510^-34310^8/19310^-91.610^-19+3.5

$$\frac{ 6.625 { 10 }^{ -34 } 3 { 10 }^{ 8 } }{ 193 { 10 }^{ -9 } 1.6 { 10 }^{ -19 } } +3.5$$

Evaluate

$$\frac{30683}{3088}\approx 9.936204663$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 8 to get -26.

$$\frac{6.625\times 10^{-26}\times 3}{193\times 10^{-9}\times 1.6\times 10^{-19}}+3.5$$

To multiply powers of the same base, add their exponents. Add -9 and -19 to get -28.

$$\frac{6.625\times 10^{-26}\times 3}{193\times 10^{-28}\times 1.6}+3.5$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{3\times 6.625\times 10^{2}}{1.6\times 193}+3.5$$

Multiply 3 and 6.625 to get 19.875.

$$\frac{19.875\times 10^{2}}{1.6\times 193}+3.5$$

Calculate 10 to the power of 2 and get 100.

$$\frac{19.875\times 100}{1.6\times 193}+3.5$$

Multiply 19.875 and 100 to get 1987.5.

$$\frac{1987.5}{1.6\times 193}+3.5$$

Multiply 1.6 and 193 to get 308.8.

$$\frac{1987.5}{308.8}+3.5$$

Expand \frac{1987.5}{308.8} by multiplying both numerator and the denominator by 10.

$$\frac{19875}{3088}+3.5$$

Add \frac{19875}{3088} and 3.5 to get \frac{30683}{3088}.

$$\frac{30683}{3088}$$

Factor

$$\frac{61 \cdot 503}{193 \cdot 2 ^ {4}} = 9\frac{2891}{3088} = 9.936204663212436$$