Question

2 the power x guna 3 the power y guna 5 the power z equal to 9000

Answer 1

2^x × 3^y × 5^z =9000,


here
x=3,

y=2,

z=3

Answer 2

]

by prime factorization

2|9000
2|4500
2|2250
3|1125
3|375
5|125
5|25
5|5
|1
$9000 = {2}^{x} {3}^{y} {5}^{z} = {2}^{3} {3}^{2} {5}^{3} \\ x = 3 \: \: \: \: \: y = 2 \: \: \: \: \: z = 3$
$9000 = {2}^{3} {3}^{2} {5}^{3}$