{
  "title": "Simplification using Laws (Exponents) - Grade 7 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "Simplify: 2³ × 2² 🍎",
      "options": { "A": "2⁵", "B": "2⁶", "C": "4⁵", "D": "4⁶" },
      "correct_answer": "A"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Simplify: 5⁴ ÷ 5² 🚗",
      "options": { "A": "5²", "B": "5⁶", "C": "10²", "D": "25" },
      "correct_answer": "A"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "(3²)³ = ? ✏️",
      "options": { "A": "3⁵", "B": "3⁶", "C": "9⁵", "D": "9⁶" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Simplify: 7³ × 7⁰ 🧵",
      "options": { "A": "0", "B": "1", "C": "7³", "D": "7⁴" },
      "correct_answer": "C"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "4⁵ ÷ 4⁵ = ? 🧃",
      "options": { "A": "0", "B": "1", "C": "4", "D": "4¹⁰" },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "Simplify: 6² × 6³ 🎈",
      "options": { "A": "6⁵", "B": "6⁶", "C": "36⁵", "D": "36⁶" },
      "correct_answer": "A"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "8⁴ ÷ 8² = ? 🦋",
      "options": { "A": "8²", "B": "8⁶", "C": "64²", "D": "64⁴" },
      "correct_answer": "A"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "(2³)² = ? 🍰",
      "options": { "A": "2⁵", "B": "2⁶", "C": "4⁵", "D": "4⁶" },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Simplify: 9⁵ ÷ 9³ 🎯",
      "options": { "A": "9²", "B": "9⁸", "C": "81²", "D": "81⁸" },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "10⁴ × 10² = ? 🐛",
      "options": { "A": "10²", "B": "10⁶", "C": "100⁶", "D": "1000⁶" },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Simplify: (5²)² 🌼",
      "options": { "A": "5⁴", "B": "5⁶", "C": "25⁴", "D": "25⁶" },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "3⁶ ÷ 3⁴ = ? 🏀",
      "options": { "A": "3²", "B": "3¹⁰", "C": "9²", "D": "9¹⁰" },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Simplify: 4³ × 4² ⭐",
      "options": { "A": "4⁵", "B": "4⁶", "C": "16⁵", "D": "16⁶" },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "(7³)¹ = ? 🐌",
      "options": { "A": "7²", "B": "7³", "C": "7⁴", "D": "1" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Simplify: 2⁴ ÷ 2² 🍚",
      "options": { "A": "2²", "B": "2⁶", "C": "4²", "D": "4⁶" },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "5³ × 5¹ = ? 🚲",
      "options": { "A": "5²", "B": "5³", "C": "5⁴", "D": "5⁵" },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Simplify: (6²)² 🍦",
      "options": { "A": "6²", "B": "6⁴", "C": "12⁴", "D": "36⁴" },
      "correct_answer": "B"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "9⁴ ÷ 9 = ? 🎁",
      "options": { "A": "9³", "B": "9⁴", "C": "9⁵", "D": "1" },
      "correct_answer": "A"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Simplify: 8² × 8⁰ 🌞",
      "options": { "A": "0", "B": "1", "C": "8²", "D": "8³" },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "(10²)³ = ? 🎀",
      "options": { "A": "10⁵", "B": "10⁶", "C": "100⁵", "D": "100⁶" },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "Simplify: (3² × 3⁴) ÷ 3³ 🧮",
      "options": { "A": "3¹", "B": "3²", "C": "3³", "D": "3⁴" },
      "correct_answer": "C"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Simplify: (5³)² ÷ 5⁴ 🏊",
      "options": { "A": "5¹", "B": "5²", "C": "5⁴", "D": "5⁶" },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Find: (2⁴ × 2³) ÷ 2⁵ 🐠",
      "options": { "A": "2¹", "B": "2²", "C": "2⁴", "D": "2⁷" },
      "correct_answer": "B"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "Simplify: (4³)² ÷ 4⁴ 🍬",
      "options": { "A": "4¹", "B": "4²", "C": "4⁴", "D": "4⁶" },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Simplify: 6⁵ × 6² ÷ 6⁴ 🕸️",
      "options": { "A": "6¹", "B": "6²", "C": "6³", "D": "6⁴" },
      "correct_answer": "C"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "Find: (7² × 7³) ÷ 7⁴ 🚗",
      "options": { "A": "7¹", "B": "7²", "C": "7³", "D": "7⁴" },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Simplify: (9⁴ ÷ 9²) × 9³ 🎨",
      "options": { "A": "9³", "B": "9⁴", "C": "9⁵", "D": "9⁶" },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Simplify: (8³)² ÷ 8⁴ 🥧",
      "options": { "A": "8¹", "B": "8²", "C": "8⁴", "D": "8⁶" },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Find: (5⁴ × 5²) ÷ 5⁵ 🌈",
      "options": { "A": "5¹", "B": "5²", "C": "5³", "D": "5⁴" },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Simplify: (10⁵ ÷ 10³) × 10² 📦",
      "options": { "A": "10²", "B": "10³", "C": "10⁴", "D": "10⁵" },
      "correct_answer": "C"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Simplify: (2⁶ ÷ 2²) × 2³ 🐢",
      "options": { "A": "2⁵", "B": "2⁶", "C": "2⁷", "D": "2⁸" },
      "correct_answer": "C"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "Find: (3⁵ × 3) ÷ 3³ 💰",
      "options": { "A": "3¹", "B": "3²", "C": "3³", "D": "3⁴" },
      "correct_answer": "C"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Simplify: (4⁵ ÷ 4²) × 4⁰ 🧩",
      "options": { "A": "4¹", "B": "4²", "C": "4³", "D": "4⁴" },
      "correct_answer": "C"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "Simplify: (6⁴)² ÷ 6⁵ 🔌",
      "options": { "A": "6¹", "B": "6²", "C": "6³", "D": "6⁴" },
      "correct_answer": "C"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Find: (7⁴ ÷ 7) × 7² ⚡",
      "options": { "A": "7⁴", "B": "7⁵", "C": "7⁶", "D": "7⁷" },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Simplify: (9³ × 9²) ÷ 9⁴ 🗺️",
      "options": { "A": "9¹", "B": "9²", "C": "9³", "D": "9⁴" },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Simplify: (5⁶ ÷ 5⁴) × 5² 🪁",
      "options": { "A": "5²", "B": "5³", "C": "5⁴", "D": "5⁵" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "Find: (8⁴ × 8²) ÷ 8⁵ 👕",
      "options": { "A": "8¹", "B": "8²", "C": "8³", "D": "8⁴" },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Simplify: (10⁴)² ÷ 10⁶ 🔢",
      "options": { "A": "10¹", "B": "10²", "C": "10⁴", "D": "10⁶" },
      "correct_answer": "B"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "Simplify: (2⁵ × 2³) ÷ 2⁶ 🚀",
      "options": { "A": "2¹", "B": "2²", "C": "2⁴", "D": "2⁵" },
      "correct_answer": "B"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "Simplify: [(3²)³ × 3⁴] ÷ 3⁸ 🏗️",
      "options": { "A": "3⁰", "B": "3¹", "C": "3²", "D": "3³" },
      "correct_answer": "C"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Simplify: (5⁴)² ÷ (5³)² 🧲",
      "options": { "A": "5¹", "B": "5²", "C": "5³", "D": "5⁴" },
      "correct_answer": "B"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Simplify: [(2³)² × 2⁵] ÷ (2⁴)² 🏃",
      "options": {
        "A": "2¹",
        "B": "2²",
        "C": "2³",
        "D": "2⁴"
      },
      "correct_answer": "C"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "Simplify: (6³ × 6⁴) ÷ (6²)³ ⚖️",
      "options": { "A": "6¹", "B": "6²", "C": "6³", "D": "6⁴" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Simplify: [(4²)³ ÷ 4⁵] × 4³ 🔍",
      "options": { "A": "4¹", "B": "4²", "C": "4³", "D": "4⁴" },
      "correct_answer": "D"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "Simplify: (7⁵ ÷ 7²) × (7³)² ÷ 7⁶ 📊",
      "options": {
        "A": "7¹",
        "B": "7²",
        "C": "7³",
        "D": "7⁴"
      },
      "correct_answer": "C"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Simplify: [(8²)² × 8³] ÷ (8⁴ × 8) 🪣",
      "options": { "A": "8¹", "B": "8²", "C": "8³", "D": "8⁴" },
      "correct_answer": "B"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "Simplify: (9⁴ × 9³) ÷ [(9²)³] 🧪",
      "options": { "A": "9¹", "B": "9²", "C": "9³", "D": "9⁴" },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "Simplify: [(5³)² ÷ 5⁴] × (5²)³ ✖️",
      "options": { "A": "5⁴", "B": "5⁶", "C": "5⁸", "D": "5¹⁰" },
      "correct_answer": "C"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Simplify: (10⁶ ÷ 10²) × (10³)² ÷ 10⁸ 👨‍👧‍👦",
      "options": { "A": "10¹", "B": "10²", "C": "10³", "D": "10⁴" },
      "correct_answer": "B"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Simplify: [(2⁴)³ × 2] ÷ (2⁵)² 🧱",
      "options": {
        "A": "2¹",
        "B": "2²",
        "C": "2³",
        "D": "2⁴"
      },
      "correct_answer": "C"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "Simplify: (3⁵ × 3²) ÷ [(3³)²] ✏️",
      "options": { "A": "3⁰", "B": "3¹", "C": "3²", "D": "3³" },
      "correct_answer": "B"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Simplify: [(6²)³ ÷ 6⁴] × 6⁵ 🎲",
      "options": { "A": "6⁵", "B": "6⁶", "C": "6⁷", "D": "6⁸" },
      "correct_answer": "C"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "Simplify: (4⁶ ÷ 4²) × (4³)² ÷ 4⁸ ⬛",
      "options": { "A": "4¹", "B": "4²", "C": "4³", "D": "4⁴" },
      "correct_answer": "B"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "Simplify: [(7³)² × 7] ÷ (7⁴)² 🧠",
      "options": {
        "A": "7⁻¹",
        "B": "7¹",
        "C": "7²",
        "D": "7³"
      },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "Simplify: (8⁵ × 8²) ÷ [(8³)²] 🎪",
      "options": { "A": "8⁰", "B": "8¹", "C": "8²", "D": "8³" },
      "correct_answer": "B"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Simplify: [(9²)³ ÷ 9⁴] × 9³ 🚂",
      "options": { "A": "9³", "B": "9⁴", "C": "9⁵", "D": "9⁶" },
      "correct_answer": "C"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "Simplify: (5⁷ ÷ 5³) × (5²)³ ÷ 5⁸ 🔦",
      "options": { "A": "5¹", "B": "5²", "C": "5³", "D": "5⁴" },
      "correct_answer": "B"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "Simplify: [(10³)² × 10²] ÷ (10⁴)² 🪜",
      "options": { "A": "10⁰", "B": "10¹", "C": "10²", "D": "10³" },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "Simplify: (2⁸ ÷ 2⁴) × (2³)² ÷ 2⁶ ⛽",
      "options": { "A": "2²", "B": "2³", "C": "2⁴", "D": "2⁵" },
      "correct_answer": "C"
    }
  ]
}
