Answer:
-3
Step-by-step explanation:
0.005 = 5 * [tex]10^?[/tex]
0.005 = 5 * 0.001
Thus, to find what 10 should be raised to, we should find which exponent of 10 gives us 0.001
We can do this by just testing a few numbers from 10^1 and down:
[tex]10^1 = 10\\10^0 = 1\\10^{-1} = 0.1\\10^{-2} = 0.01\\10^{-3} = 0.001[/tex]
As we can see, [tex]10^{-3}[/tex] = 0.001, thus the exponent in our equation is -3
A shorthand of this is counting the number of zeroes, 10^-1 has one zero, 10^-2 has two zeroes, and 10^-3 has three zeroes.
Since we were looking for 0.001, which has 3 zeroes, we can see that the correct exponent should be -3.
