Explain Any Concept at Multiple Levels

This prompt explains one concept at three labeled depths: a jargon-free ELI5 with an analogy, a high-school version with vocabulary and a worked example, and an expert version with edge cases and live debates. Reach for it when you're learning something new and want to scaffold up from intuition to rigor, or when you need to explain a topic to audiences of different expertise. The three-level structure lets you find your own entry point and climb at your own pace instead of getting a single one-size answer.

What you can expect back

Level 1 — ELI5
Imagine a snowball at the top of a hill. As it rolls, it picks up snow, and the bigger it gets, the more snow it grabs each turn. Money in savings works the same way: it grows, and then the bigger pile grows even faster.

Level 2 — High school
Compound interest means you earn interest on your original money (the principal) AND on the interest you've already earned. Key terms: principal, rate, and compounding period. Worked example: 1,000 dollars at 5% compounded yearly becomes 1,050 after year one. In year two you earn 5% of 1,050, not 1,000 — so you get 1,102.50. The formula is A = P(1 + r/n)^(nt).

Level 3 — Expert
The continuous-compounding limit gives A = Pe^(rt). Common misconception: people conflate nominal rate with effective annual rate (APY), which diverges as compounding frequency rises. Edge cases: negative real rates erode principal despite positive nominal growth; tax drag and inflation make the relevant figure the real, after-tax return. Ongoing debate: how to model compounding under stochastic rather than fixed rates in long-horizon retirement planning.

Illustrative example — your results will vary by tool and inputs.

Get sharper results

• 01Pick the analogy yourself if you have one in mind — tell it 'use a cooking analogy' or 'relate it to something a musician would know' to anchor the ELI5 to your background.
• 02If you only need one level, say so; asking for all three when you're already past ELI5 wastes the response on ground you've covered.
• 03For technical concepts, ask the expert level to include the actual formula, notation, or code so it's usable and not just prose.
• 04Push the 'common misconceptions' part — it's where the real learning is, because it names the wrong model you might already hold.
• 05Ask a follow-up at whichever level felt fuzzy; the three-level format is a starting map, and the value compounds when you drill into the gap.

Adapt it for your case