Answer:
x = 3, y = 2
Step-by-step explanation:
[tex]360 = {2}^{x} \times {3}^{y} \times 5 \\ \\ \frac{360}{5} ={2}^{x} \times {3}^{y} \\ \\ 72 = {2}^{x} \times {3}^{y} \\ \\ 8\times 9 = {2}^{x} \times {3}^{y} \\ \\ {2}^{3} \times {3}^{2} = {2}^{x} \times {3}^{y} \\ \\ equating \: like \: terms \: on \: both \: sides \\ {2}^{3} = {2}^{x} \\ \\ \implies \: x = 3 \\ \\ {3}^{2} = {3}^{y} \\ \\ \implies \: y= 2 \\ \\[/tex]
