What power of 10 would make the following equation true?

3.75×10?=0.0000375

(1 point)
Responses

7
7

5
5

-7
-7

-6
-6

6
6

-5
-5

1 answer

To solve the equation \( 3.75 \times 10^? = 0.0000375 \), we need to express \( 0.0000375 \) in scientific notation.

First, we recognize that \( 0.0000375 \) can be expressed as:

\[ 0.0000375 = 3.75 \times 10^{-5} \]

We can verify this:

  • Move the decimal point in \( 3.75 \) left 5 times to convert it to \( 0.0000375 \).

Now we equate the two expressions:

\[ 3.75 \times 10^? = 3.75 \times 10^{-5} \]

Since both sides have \( 3.75 \), we can simplify by removing it from both sides:

\[ 10^? = 10^{-5} \]

Therefore, \( ? = -5 \).

Thus, the correct answer is:

-5