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Add Exponents & Roots bundle: lesson + 7 questions - #23

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Add Exponents & Roots bundle: lesson + 7 questions#23
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@DMDaudio DMDaudio commented Aug 1, 2026

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What does this PR add or change?

Adds a coherent bundle for the previously-uncovered quant / arithmetic / exponents-roots subtopic (zero questions and no lesson existed before):

  • 1 lessonquant-arithmetic-exponents-roots ("Exponents & Roots"): the exponent laws (add vs. multiply), zero/negative exponents, fractional exponents as roots, simplifying and adding radicals, and solving exponential equations by matching bases.
  • 7 original problem-solving questions (00170023, the next unused Quant sequence), with an easy→hard progression:
    • 0017 (easy) — product of powers, \(3^4 \cdot 3^2\)
    • 0018 (easy) — power of a power, \((2^3)^2\)
    • 0019 (easy) — simplify \(\sqrt{72}\)
    • 0020 (medium) — zero & negative exponents, \(4^0 + 2^{-2}\)
    • 0021 (medium) — fractional exponent, \(27^{2/3}\)
    • 0022 (hard) — solve \(2^{x+3} = 8^{x-1}\) by common base
    • 0023 (medium) — add radicals, \(\sqrt{50} + \sqrt{18}\)

Every question has a worked explanation, two hints, and distractors keyed to specific common errors (multiply-vs-add exponents, reading a negative exponent as a negative number, root-then-power order, adding under the radical, and forgetting to distribute a converted exponent). Correct-answer letters are spread across A–E.

node scripts/build.mjs regenerated docs/data/content.json with zero warnings (39 questions, 9 lessons).

Type of change

  • New question(s)
  • New lesson(s)
  • Fix to existing content (answer / explanation / tag)
  • Tooling / docs / schema

Author checklist

  • This is my own original work — not copied or paraphrased from any real GMAT question or prep material.
  • Front-matter follows CONTENT_SCHEMA.md (id matches the filename; topic/subtopic exist in curriculum.md).
  • I solved every question myself and confirmed exactly one answer choice is correct.
  • Each explanation would help someone who got the question wrong, and names the trap where relevant.
  • status is in-review. I did not set my own content to verified.

For reviewers

  • I solved the question(s) without reading the keyed answer first and got the same answer.
  • Exactly one choice is correct; distractors are plausible.
  • Explanation and tags (section / topic / difficulty) are accurate.
  • If approving: bumped status to verified and added my handle to reviewers.

Generated by Claude Code

Fills the arithmetic/exponents-roots gap (previously zero coverage):
- New lesson quant-arithmetic-exponents-roots (exponent laws, zero/negative
  and fractional exponents, simplifying/adding radicals, common-base equations).
- 7 original problem-solving questions, easy→hard, each with a worked
  explanation, two hints, and distractors keyed to specific common errors
  (add-vs-multiply exponents, negative-exponent sign, root-then-power order,
  adding under the radical, distributing a converted exponent).

All status: in-review. node scripts/build.mjs rebuilt docs/data/content.json
with zero warnings (39 questions, 9 lessons).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01KuhJX8ivBw5ZqBPU4nSzXa
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2 participants