Answer:
[tex]c = \dfrac{1}{4}[/tex]
Explanation:
[tex]\sf 2^{-4} \ \cdot \ 2^2= a^b = c[/tex]
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[tex]\sf c = 2^{-4} \ \cdot \ 2^2[/tex]
apply indices law : [tex]\sf a^m \ \cdot \ a^n = a^{m+n}[/tex]
[tex]\sf c = 2^{-4+2}[/tex]
simplify
[tex]\sf c = 2^{-2}[/tex]
[tex]\sf c = \dfrac{1}{2^2}[/tex]
evaluate
[tex]\sf c = \dfrac{1}{4}[/tex]
