Question

What power of 10 would make the following equation true?

3.75×10?=0.0000375

(1 point)
Responses

-7
-7

7
7

-5
-5

5
5

6
6

-6

Answer 1

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

The number \( 0.0000375 \) can be rewritten as follows:
\[
0.0000375 = 3.75 \times 10^{-5}
\]

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

Since the coefficients (3.75) on both sides are the same, we can equate the powers of 10:
\[
10^? = 10^{-5}
\]

This gives us:
\[
? = -5
\]

Thus, the power of 10 that makes the equation true is \( -5 \).

So the answer is:
\(-5\)