<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
    }

    body {
      width: 100%;
      min-height: 100%;
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      color: #1e2945;
      background: transparent;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      padding: 16px 12px;
    }

    .main-wrap {
      width: 100%;
      max-width: 520px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 20px;
    }

    /* Top Anatomy Card */
    .anatomy-box {
      width: 100%;
      position: relative;
      background: #f8fafc;
      border: 1px solid #e2e8f0;
      border-radius: 16px;
      padding: 20px 16px;
      display: flex;
      align-items: center;
      justify-content: center;
    }

    .anatomy-svg {
      width: 100%;
      max-width: 440px;
      height: 140px;
      overflow: visible;
    }

    /* Interactive Concrete Example Area */
    .example-box {
      width: 100%;
      background: #ffffff;
      border: 1px solid #e2e8f0;
      border-radius: 16px;
      padding: 18px 14px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 14px;
    }

    .exp-controls {
      display: flex;
      align-items: center;
      gap: 8px;
    }

    .exp-label {
      font-size: 13px;
      font-weight: 600;
      color: #64748b;
      text-transform: uppercase;
      letter-spacing: 0.5px;
    }

    .exp-btn {
      width: 32px;
      height: 32px;
      border-radius: 8px;
      border: 1px solid #cbd5e1;
      background: #f8fafc;
      color: #334155;
      font-size: 14px;
      font-weight: 700;
      cursor: pointer;
      display: flex;
      align-items: center;
      justify-content: center;
      transition: background 0.2s, color 0.2s, border-color 0.2s, box-shadow 0.2s;
    }

    .exp-btn:hover {
      background: #ede9fe;
      border-color: #7c3aed;
      color: #7c3aed;
    }

    .exp-btn.active {
      background: #7c3aed;
      border-color: #7c3aed;
      color: #ffffff;
      box-shadow: 0 2px 6px rgba(124, 58, 237, 0.35);
    }

    /* Equation Display */
    .equation-row {
      display: flex;
      align-items: center;
      justify-content: center;
      flex-wrap: wrap;
      gap: 10px;
      font-family: "SF Pro Text", -apple-system, sans-serif;
    }

    .power-view {
      font-size: 32px;
      font-weight: 800;
      line-height: 1;
      display: inline-flex;
      align-items: flex-start;
    }

    .base-val {
      color: #0284c7;
    }

    .exp-val {
      font-size: 20px;
      color: #7c3aed;
      margin-left: 2px;
      position: relative;
      top: -6px;
    }

    .eq-sign {
      font-size: 24px;
      font-weight: 700;
      color: #94a3b8;
    }

    .expansion-container {
      display: inline-flex;
      align-items: center;
      gap: 6px;
    }

    .factor-col {
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 4px;
    }

    .factor-num {
      font-size: 24px;
      font-weight: 800;
      color: #0284c7;
      line-height: 1;
      width: 28px;
      height: 30px;
      display: flex;
      align-items: center;
      justify-content: center;
      background: #e0f2fe;
      border-radius: 6px;
    }

    .factor-dot {
      width: 18px;
      height: 18px;
      border-radius: 50%;
      background: #7c3aed;
      color: #ffffff;
      font-size: 11px;
      font-weight: 700;
      display: flex;
      align-items: center;
      justify-content: center;
    }

    .mul-sign {
      font-size: 18px;
      font-weight: 800;
      color: #94a3b8;
      margin-bottom: 22px;
    }

    .result-val {
      font-size: 28px;
      font-weight: 800;
      color: #0f172a;
      background: #f1f5f9;
      padding: 4px 10px;
      border-radius: 8px;
      border: 1px solid #e2e8f0;
      line-height: 1;
    }

    .hint-label {
      font-size: 12px;
      color: #64748b;
      font-weight: 500;
      display: flex;
      align-items: center;
      gap: 6px;
    }

    .hint-chip {
      display: inline-flex;
      align-items: center;
      gap: 4px;
      padding: 2px 6px;
      border-radius: 4px;
      font-weight: 700;
      font-size: 11px;
    }
  </style>
</head>
<body>

  <div class="main-wrap">
    
    <div class="anatomy-box">
      <svg class="anatomy-svg" viewBox="0 0 440 140">
        <defs>
          <marker id="arrow-blue" markerWidth="6" markerHeight="6" refX="5" refY="3" orient="auto">
            <path d="M0,0 L6,3 L0,6 Z" fill="#0284c7" />
          </marker>
          <marker id="arrow-purple" markerWidth="6" markerHeight="6" refX="5" refY="3" orient="auto">
            <path d="M0,0 L6,3 L0,6 Z" fill="#7c3aed" />
          </marker>
        </defs>

        
        <g transform="translate(10, 52)">
          <rect x="0" y="0" width="138" height="42" rx="8" fill="#e0f2fe" stroke="#38bdf8" stroke-width="1.5"/>
          <text x="69" y="18" text-anchor="middle" font-size="13" font-weight="700" fill="#0284c7">Base</text>
          <text x="69" y="32" text-anchor="middle" font-size="10.5" font-weight="600" fill="#0369a1">number multiplied</text>
        </g>
        <path d="M 148 73 L 194 73" fill="none" stroke="#0284c7" stroke-width="2" marker-end="url(#arrow-blue)" />

        
        
        <text x="210" y="86" font-size="52" font-weight="800" fill="#0284c7" font-family="system-ui, sans-serif">a</text>
        
        <text x="240" y="52" font-size="34" font-weight="800" fill="#7c3aed" font-family="system-ui, sans-serif">n</text>

        
        <path d="M 292 63 L 260 48" fill="none" stroke="#7c3aed" stroke-width="2" marker-end="url(#arrow-purple)" />
        <g transform="translate(292, 42)">
          <rect x="0" y="0" width="138" height="42" rx="8" fill="#f5f3ff" stroke="#a78bfa" stroke-width="1.5"/>
          <text x="69" y="18" text-anchor="middle" font-size="13" font-weight="700" fill="#7c3aed">Exponent</text>
          <text x="69" y="32" text-anchor="middle" font-size="10.5" font-weight="600" fill="#6d28d9">times multiplied</text>
        </g>
      </svg>
    </div>

    
    <div class="example-box">
      <div class="exp-controls">
        <span class="exp-label">Exponent (n):</span>
        <button class="exp-btn" onclick="setExp(2)">2</button>
        <button class="exp-btn" onclick="setExp(3)">3</button>
        <button class="exp-btn active" onclick="setExp(4)">4</button>
        <button class="exp-btn" onclick="setExp(5)">5</button>
      </div>

      <div class="equation-row">
        
        <div class="power-view">
          <span class="base-val">2</span>
          <span class="exp-val" id="powerExp">4</span>
        </div>

        <span class="eq-sign">=</span>

        
        <div class="expansion-container" id="factorsWrap"></div>

        <span class="eq-sign">=</span>

        
        <span class="result-val" id="resultVal">16</span>
      </div>

      <div class="hint-label">
        <span class="hint-chip" style="background:#f5f3ff; color:#7c3aed;">
          ● Counted factors
        </span>
        equal to exponent
      </div>
    </div>
  </div>

  <script>
    let currentExp = 4;

    function renderExample(n) {
      currentExp = n;
      document.getElementById('powerExp').textContent = n;
      document.getElementById('resultVal').textContent = Math.pow(2, n);

      // Render factors with count badges below
      const wrap = document.getElementById('factorsWrap');
      wrap.innerHTML = '';

      for (let i = 1; i <= n; i++) {
        const factorCol = document.createElement('div');
        factorCol.className = 'factor-col';
        factorCol.innerHTML = `
          <div class="factor-num">2</div>
          <div class="factor-dot">${i}</div>
        `;
        wrap.appendChild(factorCol);

        if (i < n) {
          const mul = document.createElement('span');
          mul.className = 'mul-sign';
          mul.textContent = '·';
          wrap.appendChild(mul);
        }
      }

      // Update button active state
      const buttons = document.querySelectorAll('.exp-btn');
      buttons.forEach(btn => {
        if (parseInt(btn.textContent) === n) {
          btn.classList.add('active');
        } else {
          btn.classList.remove('active');
        }
      });
    }

    function setExp(n) {
      renderExample(n);
    }

    // Initial render
    renderExample(4);
  </script>
</body>
</html>

Product Rule of Exponents with Integers

Quotient Rule of Exponents with Integers

Power of a Power Rule with Integers

Power of a Product Rule with Integers

Power of a Quotient Rule with Integers

Zero and Negative Exponents

Simplifying Expressions with Multiple Exponent Rules

math

Exponent Rules with Integer Exponents

Converting Between Radical and Rational Exponent Form

Product Rule with Rational Exponents

Quotient Rule with Rational Exponents

Power Rules with Rational Exponents

Simplifying Expressions with Mixed Integer and Rational Exponents

Rational Exponents

Multiplying Radical Expressions

Subtracting Radical Expressions with Like Radicands

Adding and Subtracting Radicals with Unlike Radicands

Dividing and Rationalizing Radical Expressions

Simplifying Higher-Order Roots and Radical Expressions

Radical Expressions and Operations

Solving One-Step Square Root Equations

Solving Two-Step Square Root Equations

Solving Square Root Equations with Isolated Radicals

Solving Square Root Equations with Non-Isolated Radicals

Solving Square Root Equations with Variables on Both Sides

Identifying Transformations from Square Root Equations

Solving Multi-Step Cube Root Equations

Identifying Transformations from Cube Root Equations

Solving Radical Equations and Function Transformations

Introduction to Polynomials: Degree, Terms, and Classification

Adding and Subtracting Polynomials

Real-World Polynomial Addition and Subtraction

Multiplying Monomials by Polynomials

Multiplying Binomials Using the Distributive Property

Multiplying Binomials by Trinomials

Real-World Polynomial Multiplication

Simplifying Polynomial Expressions with Multiple Operations

Polynomial Arithmetic

Algebraic Identity (a+b)² = a² + 2ab + b² Using Area Models

Algebraic Identity (a-b)² = a² - 2ab + b² Using Area Models

Algebraic Identity a² - b² = (a+b)(a-b) Using Area Models

Algebraic Identity (a+b+c)² Using Models

Algebraic Identities for (a+b)³ and (a-b)³

Algebraic Identities

Factoring Out the Greatest Common Factor

Factoring Trinomials with a Leading Coefficient of 1

Factoring Trinomials with a Leading Coefficient Other Than 1

Factoring the Difference of Two Squares

Factoring Perfect Square Trinomials

Factoring Polynomials

Introduction to Exponential Functions and Their Graphs

Modeling Exponential Growth and Decay

Formulating Square Root Equations from Data Tables

Introduction to Simplifying Rational Expressions

Formulating Rational Equations from Work Problems

Formulating Rational Equations from Distance Problems

Exponential, Radical, and Rational Functions with Applications

HSN.RN.A.2

HSN.RN.A.2

Aligned learning resources

Related diagrams