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7 votes

((1)/(16) )^(3-2a) =64^(-a)

(1/16)^(3-2a)=64^(-a)

User Carl Prothman
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2 Answers

14 votes
14 votes


\left( \cfrac{1}{16} \right)^(3-2a)=64^(-a)\implies \left( \cfrac{1}{4^2} \right)^(3-2a)=(4^3)^(-a)\implies (4^(-2))^(3-2a)=4^(-3a) \\\\\\ (4^2)^(2a-3)=4^(-3a)\implies 4^(2(2a-3))=4^(-3a)\implies 4^(4a-6)=4^(-3a) \\\\\\ 4a-6=-3a\implies -6=-7a\implies \cfrac{-6}{-7}=a\implies \cfrac{6}{7}=a

User Lucca Mordente
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3.2k points
24 votes
24 votes
a=6/7

Decimal answer: 0.857142

Hope this helps :)
User Matthew Benedict
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