Question
What power of 10 would make the following equation true?
3.75×10^?=0.0000375
(2 points)
Responses
-6
-6
6
6
-7
-7
-5
-5
7
7
5
5
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3.75×10^?=0.0000375
(2 points)
Responses
-6
-6
6
6
-7
-7
-5
-5
7
7
5
5
Skip to navigation
Answers
GPT-4o mini
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
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