Question

What power of 10 would make the following equation true?

3.75×10
?
=0.0000375

(1 point)

6

5

7

-5

-6

-7

Answer 1

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

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

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

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

Therefore, the correct answer is:
\(-5\).