Solve 16.8*10^-1/4.0*10^8

$$\frac { 16.8 \times 10 ^ { - 1 } } { 4.0 \times 10 ^ { 8 } }$$

Evaluate

$$0.0000000042$$

Solution Steps

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

$$\frac{16.8}{4\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{16.8}{4\times 1000000000}$$

Multiply 4 and 1000000000 to get 4000000000.

$$\frac{16.8}{4000000000}$$

Expand \frac{16.8}{4000000000} by multiplying both numerator and the denominator by 10.

$$\frac{168}{40000000000}$$

Reduce the fraction \frac{168}{40000000000} to lowest terms by extracting and canceling out 8.

$$\frac{21}{5000000000}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {9} \cdot 5 ^ {10}} = 4.2 \times 10^{-9}$$