{"id":"study-exponent-rules-cards","audience":"high-school","category":"studying","technique":"examples","track":"study","title":"Make exponent rule cards with one example each","free":false,"task":"Your Algebra 1 test has exponent rules you keep mixing up. Make exactly 5 numbered cards in the form 'Rule name: rule | example', each under 20 words, plain text, nothing else. Use only the rules in your notes, with the example numbers worked out correctly, and Mr. Novak's correction about the product rule.","materialLabel":"Your algebra notes (attached to your prompt automatically)","material":"ALGEBRA 1 - Mr. Novak - Unit 8: Exponent rules\n\nPRODUCT RULE: I wrote \"a^m x a^n = a^(m x n)\"\n   ** Mr. Novak: \"NO! You ADD the exponents when you multiply: a^m x a^n = a^(m+n). Ex: 2^3 x 2^2 = 2^5.\" **\nQUOTIENT RULE: a^m / a^n = a^(m-n). Ex: 5^6 / 5^2 = 5^4\nPOWER RULE: (a^m)^n = a^(m x n). Ex: (3^2)^3 = 3^6\nZERO EXPONENT: a^0 = 1 (if a isn't 0). Ex: 7^0 = 1\nNEGATIVE EXPONENT: a^(-n) = 1 / a^n. Ex: 2^(-3) = 1/8\n\nMr. Novak: \"Write the rule AND an example for each. If your example doesn't match the rule, you don't know the rule.\"\n\nNot on this test: fractional exponents, scientific notation (Unit 9).\nTest Wednesday.","rules":[{"type":"numberedItems","count":5},{"type":"maxWords","max":110},{"type":"plainText"}],"mistakes":[{"title":"Not saying how many cards","why":"The AI picks its own number, and it usually picks more cards than you need.","fix":"Be exact: \"Exactly 5 numbered cards.\"","checks":["numberedItems"]},{"title":"Trusting the AI to count words","why":"AI is bad at counting. Ask for a total and it often lands 20% over.","fix":"Cap each card: \"each under 18 words.\"","checks":["maxWords"]},{"title":"Not showing the card shape","why":"The AI writes a long lesson with several examples per rule.","fix":"Show one: \"Quotient rule: a^m / a^n = a^(m-n) | 5^6 / 5^2 = 5^4\".","checks":["r0"]},{"title":"Missing the correction","why":"Your wrong product rule is still in your notes.","fix":"Add: \"Product rule adds exponents, per Mr. Novak.\"","checks":["r1"]},{"title":"Adding next unit","why":"The AI may add fractional exponents.","fix":"Add: \"Only the 5 rules in my notes.\"","checks":["r2","plainText"]}],"promptHints":[{"label":"Says how many cards","patterns":["\\b(5|five)\\b.{0,25}card"]},{"label":"Shows the card shape","patterns":["\\|","rule.{0,10}example","like ['\"]","format"]},{"label":"Uses the correction","patterns":["add","m ?\\+ ?n","correct"]},{"label":"Limits the rules","patterns":["only.{0,20}(rules|notes)"]},{"label":"Asks for plain text","patterns":["plain","no bold","no markdown","no formatting","no headings"]}],"hint":"Show the AI one card with a rule and an example, limit it to your notes' rules, and point it to the product rule correction.","rubricLabels":["Has 5 cards, one per rule in the notes (product, quotient, power, zero, negative), each in the shape 'Rule name: rule | example'","The product rule adds exponents (a^m x a^n = a^(m+n)), per the correction, and every example is worked out correctly","Uses only rules from the notes, with no fractional exponents or scientific notation and no explanations"]}