math help

(2*sqrt(2)*e^t)^2

Notice that   2sqrt(2)   = sqrt (4 * 2)   =  sqrt (8)

So we have

[ sqrt (8) * e^t ] ^2   =

[sqrt (8) ]² * [ e^t ]²  =

8 * e^2t

\(({2}^{2}*{e}^{t})^2=16{e}^{2t}\)