Solve 6.63*10^-34*3*10^8/200*10^9-4.2*1.6*10^-19

$$\frac { 6.63 \times 10 ^ { - 34 } \times 3 \times 10 ^ { 8 } } { 200 \times 10 ^ { 9 } } - 4.2 \times 1.6 \times 10 ^ { - 19 }$$

Evaluate

$$-0.0000000000000000006719999999999999990055$$

Solution Steps

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

$$\frac{6.63\times 10^{-26}\times 3}{200\times 10^{9}}-4.2\times 1.6\times 10^{-19}$$

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

$$\frac{3\times 6.63}{200\times 10^{35}}-4.2\times 1.6\times 10^{-19}$$

Multiply 3 and 6.63 to get 19.89.

$$\frac{19.89}{200\times 10^{35}}-4.2\times 1.6\times 10^{-19}$$

Calculate 10 to the power of 35 and get 100000000000000000000000000000000000.

$$\frac{19.89}{200\times 100000000000000000000000000000000000}-4.2\times 1.6\times 10^{-19}$$

Multiply 200 and 100000000000000000000000000000000000 to get 20000000000000000000000000000000000000.

$$\frac{19.89}{20000000000000000000000000000000000000}-4.2\times 1.6\times 10^{-19}$$

Expand \frac{19.89}{20000000000000000000000000000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{1989}{2000000000000000000000000000000000000000}-4.2\times 1.6\times 10^{-19}$$

Multiply 4.2 and 1.6 to get 6.72.

$$\frac{1989}{2000000000000000000000000000000000000000}-6.72\times 10^{-19}$$

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$\frac{1989}{2000000000000000000000000000000000000000}-6.72\times \frac{1}{10000000000000000000}$$

Multiply 6.72 and \frac{1}{10000000000000000000} to get \frac{21}{31250000000000000000}.

$$\frac{1989}{2000000000000000000000000000000000000000}-\frac{21}{31250000000000000000}$$

Subtract \frac{21}{31250000000000000000} from \frac{1989}{2000000000000000000000000000000000000000} to get -\frac{1343999999999999998011}{2000000000000000000000000000000000000000}.

$$-\frac{1343999999999999998011}{2000000000000000000000000000000000000000}$$

Factor

$$-0.0000000000000000006719999999999999990055$$