{
  "title": "Laws of Exponents (Exponents) - Grade 7 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "Using laws of exponents, simplify: a³ × a⁴ 🍎",
      "options": { "A": "a⁷", "B": "a¹²", "C": "2a⁷", "D": "a" },
      "correct_answer": "A"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Simplify using laws: b⁵ ÷ b² 🚗",
      "options": { "A": "b³", "B": "b⁷", "C": "b¹⁰", "D": "b².⁵" },
      "correct_answer": "A"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Simplify: (x²)³ ✏️",
      "options": { "A": "x⁵", "B": "x⁶", "C": "x⁸", "D": "x⁹" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Apply the law: p⁴ × p⁰ 🧵",
      "options": { "A": "0", "B": "1", "C": "p⁴", "D": "p⁵" },
      "correct_answer": "C"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Simplify: y⁶ ÷ y⁶ 🧃",
      "options": { "A": "0", "B": "1", "C": "y", "D": "y¹²" },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "Using laws, find: (2³)² 🎈",
      "options": { "A": "2⁵", "B": "2⁶", "C": "4⁵", "D": "4⁶" },
      "correct_answer": "B"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Simplify: m⁵ × m⁻² 🦋",
      "options": { "A": "m³", "B": "m⁷", "C": "m⁻¹⁰", "D": "m¹⁰" },
      "correct_answer": "A"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Apply law: (n³)⁴ 🍰",
      "options": { "A": "n⁷", "B": "n¹²", "C": "n⁶⁴", "D": "n⁸¹" },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Simplify: t⁸ ÷ t³ 🎯",
      "options": { "A": "t⁵", "B": "t¹¹", "C": "t²⁴", "D": "t⁸/³" },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Using laws: a² × b² × a³ 🐛",
      "options": { "A": "a⁵b²", "B": "a⁶b²", "C": "(ab)⁷", "D": "a⁵b⁵" },
      "correct_answer": "A"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Simplify: (5 × 5²) 🌼",
      "options": { "A": "5²", "B": "5³", "C": "5⁴", "D": "25³" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "Apply law: (c²)⁰ 🏀",
      "options": { "A": "0", "B": "1", "C": "c²", "D": "c⁰" },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Simplify: d⁷ ÷ d⁷ ⭐",
      "options": { "A": "d", "B": "d⁰", "C": "0", "D": "1" },
      "correct_answer": "D"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "Using laws: 3⁴ × 3² 🐌",
      "options": { "A": "3⁶", "B": "3⁸", "C": "9⁶", "D": "9⁸" },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Simplify: (k⁴)² 🍚",
      "options": { "A": "k⁶", "B": "k⁸", "C": "k¹⁶", "D": "2k⁸" },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Apply law: f⁵ × f 🚲",
      "options": { "A": "f⁵", "B": "f⁶", "C": "f⁷", "D": "2f⁵" },
      "correct_answer": "B"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Simplify: 7³ ÷ 7 🍦",
      "options": { "A": "7²", "B": "7³", "C": "7⁴", "D": "1" },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "Using laws: (g³)³ 🎁",
      "options": { "A": "g⁶", "B": "g⁹", "C": "g²⁷", "D": "3g³" },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Simplify: h¹⁰ ÷ h⁵ 🌞",
      "options": { "A": "h²", "B": "h⁵", "C": "h¹⁵", "D": "h⁵⁰" },
      "correct_answer": "B"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Apply law: 6² × 6⁰ 🎀",
      "options": { "A": "0", "B": "1", "C": "6²", "D": "6³" },
      "correct_answer": "C"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "Simplify using laws: (a² × a⁵) ÷ a³ 🧮",
      "options": { "A": "a³", "B": "a⁴", "C": "a¹⁰", "D": "a⁷" },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Simplify: (p³)² × p⁴ 🏊",
      "options": { "A": "p⁶", "B": "p⁹", "C": "p¹⁰", "D": "p¹²" },
      "correct_answer": "C"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Apply laws: (x⁴ ÷ x²) × x³ 🐠",
      "options": { "A": "x⁵", "B": "x⁶", "C": "x⁸", "D": "x⁹" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "Simplify: (y²)⁴ ÷ y⁵ 🍬",
      "options": { "A": "y³", "B": "y⁸", "C": "y¹³", "D": "y⁻³" },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Simplify: (2³ × 2⁴) ÷ 2⁵ 🕸️",
      "options": { "A": "2²", "B": "2³", "C": "2⁴", "D": "2⁷" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "Using laws: (m⁵ × m) ÷ m³ 🚗",
      "options": { "A": "m²", "B": "m³", "C": "m⁴", "D": "m⁶" },
      "correct_answer": "B"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Simplify: (n⁶ ÷ n²) × n³ 🎨",
      "options": { "A": "n⁷", "B": "n⁸", "C": "n¹¹", "D": "n¹⁸" },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Apply laws: (a⁴)³ ÷ a⁸ 🥧",
      "options": { "A": "a⁴", "B": "a⁵", "C": "a¹²", "D": "a²⁰" },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Simplify: (b³ × b⁴) ÷ b⁵ 🌈",
      "options": { "A": "b²", "B": "b⁷", "C": "b¹²", "D": "b²⁰" },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Using laws: (5²)³ ÷ 5⁴ 📦",
      "options": { "A": "5¹", "B": "5²", "C": "5⁶", "D": "5⁸" },
      "correct_answer": "B"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Simplify: (c⁵ ÷ c²) × c⁴ 🐢",
      "options": { "A": "c⁷", "B": "c⁸", "C": "c¹¹", "D": "c²⁰" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "Apply laws: (d²)⁵ ÷ d⁶ 💰",
      "options": { "A": "d³", "B": "d⁴", "C": "d¹⁰", "D": "d¹⁶" },
      "correct_answer": "B"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Simplify: (3⁴ × 3²) ÷ 3³ 🧩",
      "options": { "A": "3³", "B": "3⁴", "C": "3⁵", "D": "3⁶" },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "Using laws: (e⁶ ÷ e³) × e² 🔌",
      "options": { "A": "e⁵", "B": "e⁸", "C": "e¹¹", "D": "e¹⁸" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Simplify: (f⁴)³ ÷ f⁷ ⚡",
      "options": { "A": "f⁵", "B": "f⁷", "C": "f¹²", "D": "f¹⁹" },
      "correct_answer": "A"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Apply laws: (4³)² ÷ 4⁴ 🗺️",
      "options": { "A": "4¹", "B": "4²", "C": "4⁶", "D": "4⁸" },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Simplify: (g⁵ × g²) ÷ g⁴ 🪁",
      "options": { "A": "g³", "B": "g⁴", "C": "g⁷", "D": "g¹¹" },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "Using laws: (h³)⁴ ÷ h⁸ 👕",
      "options": { "A": "h³", "B": "h⁴", "C": "h⁸", "D": "h¹²" },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Simplify: (6² × 6³) ÷ 6⁴ 🔢",
      "options": { "A": "6¹", "B": "6²", "C": "6³", "D": "6⁵" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "Apply laws: (k⁴ ÷ k) × k³ 🚀",
      "options": { "A": "k⁶", "B": "k⁷", "C": "k⁸", "D": "k¹²" },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "Simplify using laws: [(a²)³ × a⁴] ÷ a⁷ 🏗️",
      "options": { "A": "a²", "B": "a³", "C": "a⁵", "D": "a⁹" },
      "correct_answer": "B"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Simplify: (p⁵ ÷ p²)³ × p⁴ 🧲",
      "options": { "A": "p¹¹", "B": "p¹³", "C": "p¹⁵", "D": "p¹⁹" },
      "correct_answer": "B"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Apply laws: [(x³)² × x⁵] ÷ (x⁴)² 🏃",
      "options": { "A": "x²", "B": "x³", "C": "x⁴", "D": "x⁵" },
      "correct_answer": "B"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "Simplify: (y⁴ × y⁶) ÷ (y³)³ ⚖️",
      "options": { "A": "y", "B": "y²", "C": "y³", "D": "y⁴" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Simplify: [(2⁴)² ÷ 2⁵] × 2³ 🔍",
      "options": { "A": "2⁴", "B": "2⁵", "C": "2⁶", "D": "2⁸" },
      "correct_answer": "C"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "Apply laws: (m⁶ ÷ m²)² × m³ 📊",
      "options": { "A": "m⁹", "B": "m¹¹", "C": "m¹³", "D": "m¹⁵" },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Simplify: [(n⁵)² × n] ÷ (n³)³ 🪣",
      "options": { "A": "n²", "B": "n³", "C": "n⁴", "D": "n⁵" },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "Simplify: (a⁸ ÷ a⁴) × (a²)³ ÷ a⁵ 🧪",
      "options": {
        "A": "a²",
        "B": "a³",
        "C": "a⁴",
        "D": "a⁵"
      },
      "correct_answer": "D"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "Apply laws: [(b³)⁴ ÷ b⁷] × b² ✖️",
      "options": { "A": "b⁵", "B": "b⁶", "C": "b⁷", "D": "b⁸" },
      "correct_answer": "C"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Simplify: [(c⁵)² × c³] ÷ (c⁴)³ 👨‍👧‍👦",
      "options": { "A": "c", "B": "c²", "C": "c³", "D": "c⁴" },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Simplify: (3⁵ × 3²) ÷ [(3³)²] 🧱",
      "options": { "A": "3¹", "B": "3²", "C": "3³", "D": "3⁴" },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "Apply laws: [(d⁴)³ ÷ d⁸] × d⁵ ✏️",
      "options": { "A": "d⁷", "B": "d⁸", "C": "d⁹", "D": "d¹¹" },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Simplify: [(e⁶)² × e] ÷ (e⁵)² 🎲",
      "options": { "A": "e³", "B": "e⁴", "C": "e⁵", "D": "e⁶" },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "Simplify: (f⁷ ÷ f³) × (f²)⁴ ÷ f⁶ ⬛",
      "options": {
        "A": "f³",
        "B": "f⁴",
        "C": "f⁵",
        "D": "f⁶"
      },
      "correct_answer": "D"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "Apply laws: [(g⁵)² ÷ g⁶] × g⁴ 🧠",
      "options": { "A": "g⁶", "B": "g⁷", "C": "g⁸", "D": "g⁹" },
      "correct_answer": "C"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "Simplify: [(h⁴)³ × h²] ÷ (h⁵)² 🎪",
      "options": { "A": "h³", "B": "h⁴", "C": "h⁵", "D": "h⁶" },
      "correct_answer": "B"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Simplify: (6⁴ × 6³) ÷ [(6²)³] 🚂",
      "options": { "A": "6¹", "B": "6²", "C": "6³", "D": "6⁴" },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "Apply laws: [(k³)⁴ ÷ k⁷] × k⁵ 🔦",
      "options": { "A": "k⁸", "B": "k⁹", "C": "k¹⁰", "D": "k¹¹" },
      "correct_answer": "C"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "Simplify: [(5⁴)² × 5] ÷ (5³)³ 🪜",
      "options": {
        "A": "1",
        "B": "5",
        "C": "5²",
        "D": "5³"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "Simplify: (m⁹ ÷ m⁴) × (m³)² ÷ m⁷ ⛽",
      "options": {
        "A": "m²",
        "B": "m³",
        "C": "m⁴",
        "D": "m⁵"
      },
      "correct_answer": "C"
    }
  ]
}