Question

O quonciente a^3n+1 : a^n-1 equivale a:

a) 1

b) (a²)^n+n

c) (2a)^n

d) a^2n+2

e) n.d.a​

Answer 1

$\large\boxed{\begin{array}{l}\rm O~quociente~\dfrac{a^{3n+1}}{a^{n-1}}~equivale~a:\\\tt a)~\sf 1\\\tt b)~\sf (a^2)^{n+n}\\\tt c)~\sf(2a)^n\\\tt d)~\sf a^{2n+2}\\\tt e)~\sf n.d.a\end{array}}$

$\large\boxed{\begin{array}{l}\underline{\rm soluc_{\!\!,}\tilde ao:}\\\\\sf\dfrac{a^{3n+1}}{a^{n-1}}=a^{3n+1-(n-1)}\\\\\sf\dfrac{a^{3n+1}}{a^{n-1}}=a^{3n+1-n+1}\\\\\sf\dfrac{a^{3n+1}}{a^{n-1}}=a^{2n+2}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~d}}}}\end{array}}$

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