Solve 1.6*10^{-18}*10^16*10^-6/(885*10^-12*1168*10^9)

$$1.6 \times 10 ^ { - 18 } \times 10 ^ { 16 } \times 10 ^ { - 6 } / ( 885 \times 10 ^ { - 12 } \times 1168 \times 10 ^ { 9 } )$$

Evaluate

$$\frac{1}{64605000000}\approx 1.547867812 \cdot 10^{-11}$$

Solution Steps

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

$$\frac{1.6\times 10^{-2}\times 10^{-6}}{885\times 10^{-12}\times 1168\times 10^{9}}$$

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

$$\frac{1.6\times 10^{-8}}{885\times 10^{-12}\times 1168\times 10^{9}}$$

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

$$\frac{1.6\times 10^{-8}}{885\times 10^{-3}\times 1168}$$

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

$$\frac{1.6}{885\times 1168\times 10^{5}}$$

Multiply 885 and 1168 to get 1033680.

$$\frac{1.6}{1033680\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{1.6}{1033680\times 100000}$$

Multiply 1033680 and 100000 to get 103368000000.

$$\frac{1.6}{103368000000}$$

Expand \frac{1.6}{103368000000} by multiplying both numerator and the denominator by 10.

$$\frac{16}{1033680000000}$$

Reduce the fraction \frac{16}{1033680000000} to lowest terms by extracting and canceling out 16.

$$\frac{1}{64605000000}$$

Factor

$$\frac{1}{3 \cdot 59 \cdot 73 \cdot 2 ^ {6} \cdot 5 ^ {7}} = 1.5478678120888476 \times 10^{-11}$$