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Solnce55 [7]
2 years ago
12

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​
Mathematics
1 answer:
damaskus [11]2 years ago
8 0

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

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