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

Answer Link

Otras preguntas

who was a Renaissance scientist who felt truth was a standard to uphold.
is every story built around a conflict? true or false
Why did Henry VIII leave the Catholic Church in the 1500s?
how did the patriots and loyalists feel about the war for independence
Solve the following equation 2x-y=17 X-y=10
Salinization was a problem in Sumer but is no longer an issue today. A.True B.False
if the pilot lowers the elevator, what will the airplanes tail do?
31.75 rounded to the nearest tenths
what's 12/28 in simplest form
In Romeo and Juliet, why doesn't Juliet want to marry Paris? A.She is already married B.She is in love with Romeo C.Paris has never wooed her D.all of the above