Question

Given that2025= title=" {3}^{k \times } {5}^{t} " alt=" {3}^{k \times } {5}^{t} " align="absmiddle" class="latex-formula">
state the values of k and t​

Answer 1

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = $3^{4}$ × 5², that is

$3^{4}$ × 5² = $3^{k}$ × $5^{t}$

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2