Solve 6.62*10^-34*3*10^8/1.6*10^-19*2000*10^-10-4.21

$$\frac { 6.62 \times 10 ^ { - 34 } \times 3 \times 10 ^ { 8 } } { 1.6 \times 10 ^ { - 19 } \times 2000 \times 10 ^ { - 10 } } - 4.21$$

Evaluate

$$1.99625$$

Solution Steps

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

$$\frac{6.62\times 10^{-26}\times 3}{1.6\times 10^{-19}\times 2000\times 10^{-10}}-4.21$$

To multiply powers of the same base, add their exponents. Add -19 and -10 to get -29.

$$\frac{6.62\times 10^{-26}\times 3}{1.6\times 10^{-29}\times 2000}-4.21$$

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

$$\frac{3\times 6.62\times 10^{3}}{1.6\times 2000}-4.21$$

Multiply 3 and 6.62 to get 19.86.

$$\frac{19.86\times 10^{3}}{1.6\times 2000}-4.21$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{19.86\times 1000}{1.6\times 2000}-4.21$$

Multiply 19.86 and 1000 to get 19860.

$$\frac{19860}{1.6\times 2000}-4.21$$

Multiply 1.6 and 2000 to get 3200.

$$\frac{19860}{3200}-4.21$$

Reduce the fraction \frac{19860}{3200} to lowest terms by extracting and canceling out 20.

$$\frac{993}{160}-4.21$$

Subtract 4.21 from \frac{993}{160} to get \frac{1597}{800}.

$$\frac{1597}{800}$$

Factor

$$\frac{1597}{2 ^ {5} \cdot 5 ^ {2}} = 1\frac{797}{800} = 1.99625$$