Question
What power of 10 would make the following equation true?
3.75×10?=0.0000375
(1 point)
Responses
-5
-5
7
7
5
5
-6
-6
-7
-7
6
3.75×10?=0.0000375
(1 point)
Responses
-5
-5
7
7
5
5
-6
-6
-7
-7
6
Answers
GPT-4o mini
To solve the equation \( 3.75 \times 10^? = 0.0000375 \), we need to express \( 0.0000375 \) in scientific notation.
First, we can rewrite \( 0.0000375 \) as:
\[
0.0000375 = 3.75 \times 10^{-5}
\]
We can see that:
\[
3.75 \times 10^? = 3.75 \times 10^{-5}
\]
Now, we can set the exponents equal to each other since the coefficients are the same:
\[
? = -5
\]
Therefore, the power of 10 that makes the equation true is:
\[
\boxed{-5}
\]
First, we can rewrite \( 0.0000375 \) as:
\[
0.0000375 = 3.75 \times 10^{-5}
\]
We can see that:
\[
3.75 \times 10^? = 3.75 \times 10^{-5}
\]
Now, we can set the exponents equal to each other since the coefficients are the same:
\[
? = -5
\]
Therefore, the power of 10 that makes the equation true is:
\[
\boxed{-5}
\]