Solve 16*10^-18*10^16*10^-6/(885*10^-12*1168)

$$16 \times 10 ^ { - 18 } \times 10 ^ { 16 } \times 10 ^ { - 6 } / ( 885 \times 10 ^ { - 12 } \times 1168 )$$

Evaluate

$$\frac{2000}{12921}\approx 0.154786781$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -18 and 16 to get -2.

$$\frac{16\times 10^{-2}\times 10^{-6}}{885\times 10^{-12}\times 1168}$$

To multiply powers of the same base, add their exponents. Add -2 and -6 to get -8.

$$\frac{16\times 10^{-8}}{885\times 10^{-12}\times 1168}$$

Cancel out 16 in both numerator and denominator.

$$\frac{10^{-8}}{73\times 885\times 10^{-12}}$$

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

$$\frac{10^{4}}{73\times 885}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{10000}{73\times 885}$$

Multiply 73 and 885 to get 64605.

$$\frac{10000}{64605}$$

Reduce the fraction \frac{10000}{64605} to lowest terms by extracting and canceling out 5.

$$\frac{2000}{12921}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{3 \cdot 59 \cdot 73} = 0.15478678120888476$$