Question

Se $3^{a}=2$, quanto vale $27^{2a}$ ?

Answer 1

Como $27=3^3$, temos:

$27^{2a}=(3^3)^{2a}=3^{6a}=(3^{a})^6$

Sabemos que $3^{a}=2$, logo:

$27^{2a}=(3^{a})^6=2^6~\Rightarrow~\boxed{27^{2a}=64}$

Answer 2

$\boxed{27^{2a}=(3^3)^{2a}=3^{6a}=(3â)^6=2^6=64}$