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