Solve 16*10^{-18}*10^16*10^-6/(885*10^-12*1168*10^9)

$$16 \times 10 ^ { - 18 } \times 10 ^ { 16 } \times 10 ^ { - 6 } / ( 885 \times 10 ^ { - 12 } \times 1168 \times 10 ^ { 9 } )$$

Evaluate

$$\frac{1}{6460500000}\approx 1.547867812 \cdot 10^{-10}$$

Solution Steps

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

$$\frac{16\times 10^{-2}\times 10^{-6}}{885\times 10^{-12}\times 1168\times 10^{9}}$$

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

$$\frac{16\times 10^{-8}}{885\times 10^{-12}\times 1168\times 10^{9}}$$

To multiply powers of the same base, add their exponents. Add -12 and 9 to get -3.

$$\frac{16\times 10^{-8}}{885\times 10^{-3}\times 1168}$$

Cancel out 16 in both numerator and denominator.

$$\frac{10^{-8}}{73\times 885\times 10^{-3}}$$

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

$$\frac{1}{73\times 885\times 10^{5}}$$

Multiply 73 and 885 to get 64605.

$$\frac{1}{64605\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{1}{64605\times 100000}$$

Multiply 64605 and 100000 to get 6460500000.

$$\frac{1}{6460500000}$$

Factor

$$\frac{1}{2 ^ {5} \cdot 3 \cdot 5 ^ {6} \cdot 59 \cdot 73} = 1.5478678120888474 \times 10^{-10}$$