Respuesta :

carlosego

The answer is: [tex] k=-1 [/tex]

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 [tex] k [/tex] to calculate its value:

[tex] -3+1+k=-3\\ k=-3+3-1\\ k=-1 [/tex]

Therefore, the answer is [tex] k=-1 [/tex]

DeanR

[tex] 10^{-3} \cdot 10 \cdot 10^k = 10^{-3} [/tex]


[tex]10^{-3 + 1 + k} = 10^{-3}[/tex]


Taking logs,


[tex]-3 + 1 + k = -3[/tex]


[tex]k = -1[/tex]


Last choice



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