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📅 May 4, 2026 👤 scraface

May 04, 2026

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Ah! $2^9 = 512 \equiv 512 \mod 25$: $25 \cdot 20 = 500$, $512 - 500 =...
So $2^9 \equiv 12 \pmod{25}$.
Thus, the smallest such $n$ is $\boxed{9}$.
Question: A scientific simulation uses a time step increment that is t...
Solution: First, compute $\mathrm{lcm}(18, 24, 36)$.
$18 = 2 \cdot 3^2$
Take max exponents: $2^3 \cdot 3^2 = 8 \cdot 9 = 72$. So $\mathrm{lcm}...
Now compute $\gcd(72, 432)$.
Since $72 \mid 432$ (because $432 \div 72 = 6$), the GCD is $72$.
Alternatively, $432 = 6 \cdot 72$, so $\gcd = 72$.

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