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

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

Evaluate

$$\frac{200}{12921}\approx 0.015478678$$

Solution Steps

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

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

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

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

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

$$\frac{1.6\times 10^{4}}{885\times 1168}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{1.6\times 10000}{885\times 1168}$$

Multiply 1.6 and 10000 to get 16000.

$$\frac{16000}{885\times 1168}$$

Multiply 885 and 1168 to get 1033680.

$$\frac{16000}{1033680}$$

Reduce the fraction \frac{16000}{1033680} to lowest terms by extracting and canceling out 80.

$$\frac{200}{12921}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 \cdot 59 \cdot 73} = 0.015478678120888476$$