Solve -0.1*1.6*10^-19/298*86.2*10^-6

$$\frac { - 0.1 \times 1.6 \times 10 ^ { - 19 } } { 298 \times 86.2 \times 10 ^ { - 6 } }$$

Evaluate

$$-\frac{1}{1605475000000000000}\approx -6.228686214 \cdot 10^{-19}$$

Solution Steps

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

$$\frac{-0.1\times 1.6}{86.2\times 298\times 10^{13}}$$

Multiply -0.1 and 1.6 to get -0.16.

$$\frac{-0.16}{86.2\times 298\times 10^{13}}$$

Multiply 86.2 and 298 to get 25687.6.

$$\frac{-0.16}{25687.6\times 10^{13}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{-0.16}{25687.6\times 10000000000000}$$

Multiply 25687.6 and 10000000000000 to get 256876000000000000.

$$\frac{-0.16}{256876000000000000}$$

Expand \frac{-0.16}{256876000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{-16}{25687600000000000000}$$

Reduce the fraction \frac{-16}{25687600000000000000} to lowest terms by extracting and canceling out 16.

$$-\frac{1}{1605475000000000000}$$

Factor

$$-\frac{1}{1605475000000000000} = -6.228686214360236 \times 10^{-19}$$