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ๆ.) \( \frac{10^{12}}{100^{3}} \)

Ask by Vaughn Curry. in Armenia
Feb 18,2025

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1 000 000

Solution

Чтобы упростить выражение, запишем 100 как 10²:   100³ = (10²)³ = 10^(2·3) = 10⁶. Таким образом, выражение примет вид:   10¹² / 10⁶ = 10^(12–6) = 10⁶ = 1 000 000. Ответ: 1 000 000.

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Did you know that \( 100^3 \) is equivalent to \( (10^2)^3 = 10^6 \)? This means you can simplify \( \frac{10^{12}}{100^{3}} \) to \( \frac{10^{12}}{10^6} \), which is equal to \( 10^{12-6} = 10^6 \). Math truly becomes easier when you break it down! In real-life applications, simplifying expressions like this can be incredibly useful, especially in fields like engineering or physics, where you frequently deal with large numbers. By reducing complex formulas into simpler ones, calculations can become quicker and less error-prone, allowing you to focus on the big picture rather than getting lost in the math!

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