Propiedades de las POTENCIAS: multiplicar, dividir, potencia de potencia y exponente negativo

Did you know that 4⁻² is NOT −8? In this video, you'll master the four properties of exponents, with quick rules and—most importantly—understanding WHY they work. 🔢 ✅ What you'll learn: • What an exponent is (base and exponent) with a clear example. • Multiplying powers with the same base: ADD the exponents (aᵐ·aⁿ = aᵐ⁺ⁿ). • Dividing powers with the same base: SUBTRACT the exponents (aᵐ÷aⁿ = aᵐ⁻ⁿ). • Power of a power: MULTIPLY the exponents ((aᵐ)ⁿ = aᵐ·ⁿ). • Negative exponent = reciprocal (a⁻ⁿ = 1/aⁿ), and why the result is positive. • How to CHECK by counting factors. ⚠️ The 2 most common mistakes: • (10²)³ is NOT 10⁵ → multiply: 10⁶. • 4⁻² is NOT −8 → it's 1/16. 📐 What is it used for? It appears in areas and volumes: the volume of a cube is the edge cubed. 📝 Practice with the activity (no solution): https://da.gd/mdJrbK ⏱️ Chapters: 0:00 The shortcut of exponents 0:30 What is an exponent? 1:00 Multiplying: Adding Exponents 1:40 Dividing: Subtracting Exponents 2:12 Power of a Power (+ error) 2:56 Negative Exponent (+ error) 3:41 What is it used for? (volume of a cube) 4:07 Your Challenge 4:35 Summary and Challenge 💬 What did you get stuck on? Leave it in the comments and I'll answer you. And tell me your challenge: write 2⁵ · 2 ÷ 2³ as a single power. Subscribe for more step-by-step math, without the hassle. A new video every week. 🔔 📚 Level: 9th Grade · 🎯 PAES 2027 (M1 · Numbers axis — powers with integer exponents) · Sources: MINEDUC curriculum (MA1M OA02). #mathematics #powers #exponents #propertiesofpowers #negativeexponent #PAES #basicmathematics