What power of 10 would make the following equation true?

Question

3.75×10^?=0.0000375


(2 points)
Responses

-6
-6

6
6

-7
-7

-5
-5

7
7

5
5
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Answer 1

To determine the power of 10 that makes the equation \( 3.75 \times 10^? = 0.0000375 \) true, we can first express \( 0.0000375 \) in scientific notation.

Starting with \( 0.0000375 \):

1. Move the decimal point 5 places to the right to get \( 3.75 \).
2. Since we moved the decimal point to the right, we need to use a negative exponent in scientific notation.

Thus, \( 0.0000375 = 3.75 \times 10^{-5} \).

Now we have the equation: \[ 3.75 \times 10^? = 3.75 \times 10^{-5} \]

From this, we can see that \( ? = -5 \).

So, the correct response is: -5