If a^(b/4) = 16 for positive integers a and b, what is one possible value of b?.

asked Apr 7, 2023 65.7k views

17 votes

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9 votes

Answer:

Explanation:

$a^{((b)/(4))} = 16\\\\\\Both \ sides \ raise \ to \ 4\\\\(a^{(b)/(4)})^(4) = 16^(4)\\\\a^{(b)/(4)*4}=16^(4)\\\\a^(b)=16^(4)$

b = 4

Terris answered Apr 12, 2023

4.0k points

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