Exponents and Radical Expressions - EXPLAINING ALL THE RULES

Part 2: 27 EXAMPLE QUESTIONS: • 27 QUESTIONS EXPLAINED...
Here is a HARD question: • Simplifying a VERY DIF...
---
In this video, I explain the key rules of exponents and roots with short examples and clear explanations.
*Exponent Rules:*
Product Rule: a^x * a^y = a^(x+y)
Quotient Rule: a^x / a^y = a^(x-y)
Power of a Power Rule: (a^x)^y = a^(xy)
Negative Exponent Rule: a^(-x) = 1 / a^x
Zero Exponent Rule: a^0 = 1
Power of a Product Rule: a^x * b^x = (ab)^x
Power of a Quotient Rule: (a^x) / (b^x) = (a/b)^x
*Root Rules:*
Fractional Exponent Rule: a^(1/n) = ⁿ√a
Fractional Exponent Rule: a^(m/n) = (ⁿ√a)^m = ⁿ√(a^m)
Product Rule for Square Roots: √a * √b = √(ab)
Quotient Rule for Square Roots: (√a) / (√b) = √(a/b)

[@skull.loves.science]

Thanks sir, great explanation ⚜️

[@swedishmathteacher]

Big thanks!

[@kierhudson1328]

Perfect timing, was hoping to brush up.

[@kierhudson1328]

I did see a video today explaining 0^0 is 1 using limits

[@swedishmathteacher]

Nice! Did you see the video with the 27 questions as well?