Respuesta :

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

So for this question :

[tex] {2}^{ - 4} \times {2}^{2} [/tex]

[tex] = {2}^{ - 4 + 2} [/tex]

[tex] = {2}^{ - 2} [/tex]

[tex] {a}^{b} = c \\ c = {2}^{ - 2} [/tex]

[tex]c = \frac{1}{ {2}^{2} } [/tex]

[tex]c = \frac{1}{4} [/tex]

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