Question

Simplify the following expressions.
$\mathrm{0.8.}(1+9^{lo{g}_{3}8}{)}^{lo{g}_{5}5}$

Answer 1

$\mathrm{0.8.}(1+9^{{\log }_{3}8}{)}^{{\log }_{5}5}$

$=\mathrm{0.8.}(1+3^{2{\log }_{3}8}{)}^1$

$=\mathrm{0.8.}(1+3^{{\log }_{3}64})$

$=0.8\left(65\right)$

$=52$