Solve 1.2*10^-6/4.8*10^4

$$\frac { 1.2 \times 10 ^ { - 6 } } { 4.8 \times 10 ^ { 4 } }$$

Evaluate

$$0.000000000025$$

Solution Steps

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

$$\frac{1.2}{4.8\times 10^{10}}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{1.2}{4.8\times 10000000000}$$

Multiply 4.8 and 10000000000 to get 48000000000.

$$\frac{1.2}{48000000000}$$

Expand \frac{1.2}{48000000000} by multiplying both numerator and the denominator by 10.

$$\frac{12}{480000000000}$$

Reduce the fraction \frac{12}{480000000000} to lowest terms by extracting and canceling out 12.

$$\frac{1}{40000000000}$$

Factor

$$\frac{1}{2 ^ {12} \cdot 5 ^ {10}} = 2.5000000000000004 \times 10^{-11}$$