Powers from zero: multiplication, division, negative numbers

In this video, we'll fully cover the topic of "Powers with Natural Exponents"—one of the most important topics in algebra. 🔷 How the Sign Depends on the Power and the Number a aⁿ If a = 0, then the result to any power will be 0. If a is a positive number, then the result to any power will be positive. If a is a negative number, then: - if n is an even number, then the result will be positive. - if n is an odd number, then the result will be negative. 🔷 Adding and subtracting powers: a^m · a^n = a^(m+n) a^m : a^n = a^(m-n) 🔷 The power is 0: a⁰ = 1 if a is not equal to 0. 🔷 Putting n in parentheses: (ab)ⁿ = aⁿ · bⁿ 🔷 Multiplying powers: (a^m)ⁿ = a^(mn) You will learn: 📌 What is a power of a number 📌 What is a base and an exponent 📌 Why does a negative number raised to an even power become positive? 📌 Why does an odd power remain negative? 📌 How to multiply and divide powers 📌 How to raise a power to a power 📌 How to work with powers in fractions and decimals Numbers We'll cover in detail: ✔ powers of positive and negative numbers ✔ powers of zero ✔ powers of fractions ✔ properties of powers ✔ multiplication of powers with the same base ✔ division of powers ✔ powers of a product ✔ powers of a power ✔ complex simplification examples Also in the video: — exercises with explanations — calculations without a calculator — examples with fractions and decimals — common mistakes students make After watching, you'll be able to: ✅ confidently solve problems with powers ✅ understand power formulas ✅ quickly simplify expressions ✅ prepare for tests and independent work 📚 This video is suitable for: — school students — those preparing for exams — anyone who wants to understand algebra from scratch If the video was helpful, subscribe to the channel and tell us in the comments what topic to cover next 💙 Telegram: https://t.me/icanmathalgebra