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Exponent Rule Project

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Exponent Rule Project

Kuvakäsikirjoitus Teksti

  • Liuku: 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!
  • Liuku: 2
  • a⁻ᵐ = 1 / aᵐ
  • Negative Exponent
  • AHHHH! A negative exponent, don't worry though, we can just take the reciprocal, no problem!
  • Liuku: 3
  • aᵐ × aⁿ = a ᵐ ⁺ ⁿ
  • When the bases are the same, we multiply by adding the exponents!
  • Liuku: 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!
  • Liuku: 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?
  • Liuku: 6
  • aᵐ/ ⁿ = ⁿ√aᵐ
  • Got it! I'll turn this fractional exponent into a radical now!
  • Now, you can also do the inverse!
  • Liuku: 7
  • (aᵐ) ⁿ = aᵐⁿ
  • A power raised to another power now?
  • Good question! You're supposed to multiply the exponents now!
  • Liuku: 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?
  • Liuku: 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!
  • Liuku: 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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