Question

What power of 10 would make the following equation true? 

7.34 x 10 x
 = 0.000734

(1 point)
Responses

-4
-4

4
4

6
6

-5
-5

Answer 1

To solve for the power of 10 in the equation \(7.34 \times 10^x = 0.000734\), we first need to express \(0.000734\) in terms of a power of 10.

We can rewrite \(0.000734\) as follows:

\[
0.000734 = 7.34 \times 10^{-4}
\]

Now we can substitute this back into the equation:

\[
7.34 \times 10^x = 7.34 \times 10^{-4}
\]

Since both sides have \(7.34\), we can divide both sides by \(7.34\):

\[
10^x = 10^{-4}
\]

This implies that:

\[
x = -4
\]

Thus, the value of \(x\) that makes the equation true is:

\[
\boxed{-4}
\]