The result of the expression $\frac{13.6 \times 10^{-8}}{4 \times 10^{-5}}$ is 0.0034.

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Here are some related questions for further exploration:

1. How would you express the result in scientific notation?
2. What happens if we change the denominator to $2 \times 10^{-5}$?
3. How would you perform this division if the numbers were expressed in standard form?
4. Can you use logarithms to solve such an equation?
5. What are the steps involved in dividing powers of ten?

Tip: When dividing powers of ten, subtract the exponent of the denominator from the exponent of the numerator.