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Add exponents & roots bundle (quant/arithmetic) - #20

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Add exponents & roots bundle (quant/arithmetic)#20
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What does this PR add or change?

Adds coverage for the previously-empty quant / arithmetic / exponents-roots subtopic — one lesson plus 7 original problem-solving questions with an easy→hard progression.

Lesson (quant-arithmetic-exponents-roots): exponent laws (product/quotient/power-of-a-power), zero and negative exponents, fractional exponents as roots, simplifying and combining radicals, and solving exponential equations via a common base — with worked examples, a common-traps list, and key takeaways.

Questions (quant-arithmetic-exponents-roots-00170023):

ID Difficulty Focus
0017 easy combining product/quotient rules (spot the lone 5^1)
0018 easy zero and negative exponents
0019 medium simplifying and adding radicals
0020 medium fractional exponent 27^(2/3)
0021 medium splitting 2^(x+3) with a given 2^x
0022 hard common-base equation 3^(x+1) = 27^2
0023 hard quotient of roots minus a square root

Every question has a full worked explanation, two hints, and distractors each keyed to a specific common error (e.g. adding under the radical, treating a negative exponent as a negative number, power-tower misreads).

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

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 with Claude Code

https://claude.ai/code/session_01MDSYiSKES81qTDhpYqMemD


Generated by Claude Code

Cover the previously-empty arithmetic/exponents-roots subtopic:
- New lesson: exponent laws, zero/negative exponents, fractional
  exponents, simplifying/combining radicals, common-base equations.
- 7 original problem-solving questions (0017-0023), easy->hard, each
  with a worked explanation, two hints, and distractors keyed to
  specific common errors.

All status: in-review. Rebuilt docs/data/content.json (zero warnings).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01MDSYiSKES81qTDhpYqMemD
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2 participants