The problem is to evaluate the expression $\frac{4.2 \times 10^{-4} \times 5.6}{1.04 \times 10^{7}}$.

1. Problem Description

The problem is to evaluate the expression $\frac{4.2 \times 10^{-4} \times 5.6}{1.04 \times 10^{7}}$.

2. Solution Steps

First, we multiply the numbers in the numerator:

$4.2 \times 5.6 = 23.52$

So the expression becomes:

$\frac{23.52 \times 10^{-4}}{1.04 \times 10^{7}}$

Next, we divide the numbers:

$\frac{23.52}{1.04} \approx 22.6153846$

Then, we handle the powers of 10:

$\frac{10^{-4}}{10^{7}} = 10^{-4 - 7} = 10^{-11}$

Therefore, the expression becomes:

$22.6153846 \times 10^{-11}$

We should write this in scientific notation, which means moving the decimal point so that the number is between 1 and

1

0. So we have

$2.26153846 \times 10^{1} \times 10^{-11}$

Combining the powers of 10:

$2.26153846 \times 10^{1 - 11} = 2.26153846 \times 10^{-10}$

Rounding to two significant figures gives $2.3 \times 10^{-10}$.

3. Final Answer

$2.3 \times 10^{-10}$