Let's solve the expression step by step:

Given expression:

$\frac{4 \times 10^7}{8 \times 10^{22}}$

Step 1: Simplify the coefficients (numerical part)

$\frac{4}{8} = 0.5$

Step 2: Simplify the powers of 10

When dividing powers of 10, subtract the exponents:

$10^7 \div 10^{22} = 10^{7-22} = 10^{-15}$

Step 3: Combine the results

So, the expression simplifies to:

$0.5 \times 10^{-15}$

Step 4: Convert to standard form

Standard form requires the coefficient to be between 1 and 10. To achieve this, adjust the coefficient and the exponent:

$0.5 \times 10^{-15} = 5 \times 10^{-16}$

Final Answer:

$5 \times 10^{-16}$

Would you like further explanation on any of these steps?

Here are five related questions you might find useful:

1. How do you multiply numbers in standard form?
2. How do you convert a number like $0.003 \times 10^4$ into standard form?
3. What happens when you divide numbers with the same base but different exponents?
4. How do you add and subtract numbers in standard form?
5. Why is standard form useful in scientific calculations?

Tip: When dealing with numbers in standard form, always check that the coefficient is between 1 and 10 to ensure the final answer is in proper standard form.