The problem is to evaluate the following expression: $\frac{4.2 \times 10^{-4} \times 5.6 \times 10^{0}}{1.04 \times 10^{7}}$

1. Problem Description

The problem is to evaluate the following expression:

$\frac{4.2 \times 10^{-4} \times 5.6 \times 10^{0}}{1.04 \times 10^{7}}$

2. Solution Steps

First, rewrite the expression as

$\frac{4.2 \times 5.6 \times 10^{-4}}{1.04 \times 10^{7}}$

Calculate the product of the constants in the numerator:

$4.2 \times 5.6 = 23.52$

So the expression becomes

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

Now, divide the constants:

$\frac{23.52}{1.04} \approx 22.615$

So the expression becomes

$22.615 \times \frac{10^{-4}}{10^{7}}$

Using the rule for dividing exponents: $\frac{a^m}{a^n} = a^{m-n}$,

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

Thus, the expression is

$22.615 \times 10^{-11}$

To express the answer in scientific notation, we write

$2.2615 \times 10^{1} \times 10^{-11} = 2.2615 \times 10^{1-11} = 2.2615 \times 10^{-10}$

3. Final Answer

$2.2615 \times 10^{-10}$