Solve 1.2*10^-11/522*10^-2=

$$\frac { 1.2 \times 10 ^ { - 11 } } { 522 \times 10 ^ { - 2 } } =$$

Evaluate

$$\frac{1}{435000000000}\approx 2.298850575 \cdot 10^{-12}$$

Solution Steps

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

$$\frac{1.2}{522\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{1.2}{522\times 1000000000}$$

Multiply 522 and 1000000000 to get 522000000000.

$$\frac{1.2}{522000000000}$$

Expand \frac{1.2}{522000000000} by multiplying both numerator and the denominator by 10.

$$\frac{12}{5220000000000}$$

Reduce the fraction \frac{12}{5220000000000} to lowest terms by extracting and canceling out 12.

$$\frac{1}{435000000000}$$

Factor

$$\frac{1}{3 \cdot 29 \cdot 2 ^ {9} \cdot 5 ^ {10}} = 2.2988505747126435 \times 10^{-12}$$