What’s the answer to this question below. A b c or d
Accepted Solution
A:
Answer:[tex]a=-4[/tex]Step-by-step explanation:The given expression is;[tex](\frac{1}{9})^{a+1}=81^{a+1}\times27^{2-a}[/tex][tex](3)^{-2(a+1)}=3^{4(a+1)}\times3^{3(2-a)}[/tex][tex]3^{-2(a+1)}=3^{4(a+1)+3(2-a)}}[/tex]Equate the exponent;[tex]-2(a+1)=4(a+1)+3(2-a)[/tex][tex]-2a-2=4a+4+6-3a[/tex][tex]-2-4-6=4a-3a+2a[/tex][tex]-12=3a[/tex][tex]a=-4[/tex]