Question

c{1}{16} )^{3-2a} =64^{-a}" alt="(\frac{1}{16} )^{3-2a} =64^{-a}" align="absmiddle" class="latex-formula">

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

Answer 1

A=6/7

Decimal answer: 0.857142

Hope this helps :)

Answer 2

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