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Exponent Rule Project
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- Šmykľavka: 1
- 5⁵
- Hi! I'm Base Boy. A base is the number being multiplied!
- And today, we'll both be going over the exponent rules with you guys!
- And I'm Exponent Girl! An exponent tells how many times a base is being multiplied!
- Šmykľavka: 2
- a⁻ᵐ = 1 / aᵐ
- Negative Exponent
- AHHHH! A negative exponent, don't worry though, we can just take the reciprocal, no problem!
- Šmykľavka: 3
- aᵐ × aⁿ = a ᵐ ⁺ ⁿ
- When the bases are the same, we multiply by adding the exponents!
- Šmykľavka: 4
- ⁿ√aᵐ = aᵐ/ ⁿ
- Now, did you know, a radical can actually be turned into an exponent! Look!
- Woah! Sweet! That's pretty cool!
- Šmykľavka: 5
- aᵐ ÷ aⁿ = aᵐ ⁻ ⁿ
- That's easy! Just subtract the exponents now!
- Now what if you wanna divide the same base but there's an exponent?
- Šmykľavka: 6
- aᵐ/ ⁿ = ⁿ√aᵐ
- Got it! I'll turn this fractional exponent into a radical now!
- Now, you can also do the inverse!
- Šmykľavka: 7
- (aᵐ) ⁿ = aᵐⁿ
- A power raised to another power now?
- Good question! You're supposed to multiply the exponents now!
- Šmykľavka: 8
- aᵐ × bᵐ = (ab) ᵐ
- This time you'll just have to multiply the bases first!
- Now say, what if it was the same exponent but different bases?
- Šmykľavka: 9
- a⁰ = 1 a ≠ 0
- Now, what happens when the exponent is 0 and the base isn't 0?
- Easy! If the base isn't 0 but the exponent is, the answer is always 1!
- Šmykľavka: 10
- aᵐ ÷ bᵐ = (a÷b) ᵐ
- Wow, we're already onto our last exponent rule! I wonder what if we divided them now!
- Yes! Divide!
- We've made it so far, now if we multiplied the bases last time, what do you think we do now?
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