talithasifaakawwefan talithasifaakawwefan
  • 23-06-2020
  • Mathematics
contestada

given that2025=
[tex] {3}^{k \times } {5}^{t} [/tex]
state the values of k and t​

Respuesta :

jimrgrant1 jimrgrant1
  • 23-06-2020

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

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