Respuesta :

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = [tex]3^{4}[/tex] × 5², that is

[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2