what is the value of c in the equation below? 2^-4(2^2)=a^b=c

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]