Add exponents & roots bundle (quant/arithmetic) - #21
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Covers the previously-empty arithmetic/exponents-roots subtopic: - Lesson: laws of exponents, zero/negative/fractional exponents, simplifying radicals, common-base equations, factoring powers. - 7 original questions (0017-0023), easy -> hard: same-base product, power of a power, negative exponent, fractional exponent, radical simplification, common-base equation, and factoring a difference of powers. Each has a worked explanation, two hints, and distractors keyed to specific common errors. All status: in-review; build regenerated with zero warnings. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_018u7wcXBDwbejPTPmcHj5b1
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What does this PR add or change?
Adds a full bundle for the previously-empty
quant/arithmetic/exponents-rootssubtopic:quant-arithmetic-exponents-roots: laws of exponents (product, quotient, power-of-a-power), zero/negative/fractional exponents, simplifying radicals, solving common-base equations, and factoring out a common power.0017–0023), easy → hard:0017(easy) — multiplying same-base powers (add exponents)0018(easy) — power of a power (multiply exponents)0019(medium) — negative exponent on a fraction (reciprocal)0020(medium) — fractional exponent as root-and-power ((27^{2/3}))0021(medium) — simplifying a radical ((\sqrt{50}))0022(hard) — solving (4^{x+1}=8^{x-1}) by common base0023(hard) — simplifying (\frac{3^{12}-3^{10}}{3^{10}}) by factoringEach question has a worked explanation, two hints, and distractors keyed to specific common errors (add-vs-multiply exponents, negative-exponent sign confusion, wrong root/power order, pulling the perfect square out instead of its root,
8 = 2^4slip, forgetting to cancel the denominator). Correct answers are spread across A–E.docs/data/content.jsonregenerated vianode scripts/build.mjswith zero warnings.Type of change
Author checklist
idmatches the filename;topic/subtopicexist incurriculum.md).statusisin-review. I did not set my own content toverified.For reviewers
statustoverifiedand added my handle toreviewers.Generated by Claude Code