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The exponent in Sam's product is -5

We need to use the concept of scientific notation and the law of indices to be able to solve this problem effectively.

Scientific notation is a method of representing large numbers by raising them into their equivalent power.

From the given information:

  • Sam correctly multiplied 3.625 × 10⁻⁸ by 500

In scientific notation, we have;

  • = (3.625 × 10⁻⁸) × (5 × 10²)

Using the law of indices that says:

  • a¹ × b¹ becomes [tex]\mathbf{(a\times b)^{1+1}}[/tex], we have

[tex]\mathbf{= (3.625 \times 5) \times (10)^{-8+2}}[/tex]

= 1.8125 × 10⁻⁵

The exponent is the power in which a particular number is being raised.

Therefore, we can conclude that the exponent of the number 1.8125 × 10⁻⁵ is -5.

Learn more about Scientific notation here:

https://brainly.com/question/12688591

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