Griffin is an astronomer and specializes in the study of components of the solar system. The density of the inner layer of the smallest moon recorded in the solar system is 0.000046 meter.

What is the exponent of the inner layer of the moon in scientific notation?

To express the density \(0.000046\) meters in scientific notation, we need to convert it into a form where the number is between 1 and 10 multiplied by a power of 10.

The number \(0.000046\) can be written as:

\[
0.000046 = 4.6 \times 10^{-5}
\]

In this expression, the exponent is \(-5\).

So, the exponent of the inner layer's density in scientific notation is **\(-5\)**.

Would you like more details or have any questions? 

Here are five related questions you might find useful:
1. How would you write \(0.00032\) in scientific notation?
2. What is the significance of a negative exponent in scientific notation?
3. How do you convert a small decimal number to scientific notation?
4. What is the scientific notation for \( 46,000 \)?
5. How do you add or subtract numbers in scientific notation?

**Tip:** For very small numbers (less than 1), the exponent in scientific notation will always be negative, indicating how many places the decimal point has been moved to the right.

Learn how to convert a small decimal number like 0.000046 meters into scientific notation. Explore the concept of scientific notation, where numbers are expressed as a number between 1 and 10 multiplied by a power of 10. This problem relates to the density of the inner layer of the smallest moon in the solar system.

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