Question

What is the value of k in the product of powers below?

0
1
-3
-1

Answer 1

`10^(-3) \cdot 10 \cdot 10^k = 10^(-3)`

`10^(-3 + 1 + k) = 10^(-3)`

Taking logs,

`-3 + 1 + k = -3`

`k = -1`

Last choice

Answer 2

The answer is:
`k=-1`

The explanation is shown below:

1. By the exponents properties, when you have equal bases, you must sum the exponents of all the bases.

2. Based on this, let's write only the exponents and let's solve for
`k` to calculate its value:

`-3+1+k=-3\\ k=-3+3-1\\ k=-1`

Therefore, the answer is
`k=-1`