Question

Sendo K um numero real positivo que satisfaz a igualdade 3³ . 2⁵ = 4 . 6k, determine o valor de k.

Answer 1

27.32=4.6k
24k=864
k=864/24
k=36

Answer 2

$3^3\cdot2^5=2^2\cdot(2\cdot3\cdot\,k)\\\\2^3.\cdot3\cdot\,k=2^5\cdot3^3\\\\k=\frac{2^5\cdot3^3}{2^3.\cdot3}\\\\k=2^2\cdot3^2\\\\k=4\cdot9\\\\\boxed{k=36}$