Solve 6.6410^-34310^4/30010^-91.610^-19-3.79

$$\frac{ 6.64 { 10 }^{ -34 } 3 { 10 }^{ 4 } }{ 300 { 10 }^{ -9 } 1.6 { 10 }^{ -19 } } -3.79$$

Evaluate

$$-3.789585$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 4 to get -30.

$$\frac{6.64\times 10^{-30}\times 3}{300\times 10^{-9}\times 1.6\times 10^{-19}}-3.79$$

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

$$\frac{6.64\times 10^{-30}\times 3}{300\times 10^{-28}\times 1.6}-3.79$$

Cancel out 3 in both numerator and denominator.

$$\frac{6.64\times 10^{-30}}{1.6\times 100\times 10^{-28}}-3.79$$

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

$$\frac{6.64}{1.6\times 100\times 10^{2}}-3.79$$

Multiply 1.6 and 100 to get 160.

$$\frac{6.64}{160\times 10^{2}}-3.79$$

Calculate 10 to the power of 2 and get 100.

$$\frac{6.64}{160\times 100}-3.79$$

Multiply 160 and 100 to get 16000.

$$\frac{6.64}{16000}-3.79$$

Expand \frac{6.64}{16000} by multiplying both numerator and the denominator by 100.

$$\frac{664}{1600000}-3.79$$

Reduce the fraction \frac{664}{1600000} to lowest terms by extracting and canceling out 8.

$$\frac{83}{200000}-3.79$$

Subtract 3.79 from \frac{83}{200000} to get -\frac{757917}{200000}.

$$-\frac{757917}{200000}$$

Factor

$$-3.789585$$