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exponents

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exponents
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  • Csúszik: 1
  • Base
  • Hey! Can you help me? I don't get anything about the rules of exponents..What even are exponents??
  • Hahaha Of Course!! Let's start with the base. The base is the number or expression that is being multiplied
  • Yes!! Even "4", "7" it can be any number or word
  • Like "x" or "y"?
  • Csúszik: 2
  • Exponents
  • Ok now the exponent, this is the number on top of the base, It is the power to which it is being raised.
  • So in the problem 5^2 the base would be 5 and the exponent 2?
  • You are getting it! Another example can be (x3)^4 the base is (x.3) and the exponent is 4
  • Csúszik: 3
  • Product Rule and Quotient Rule
  • Now, when the base is the same and they are being multiplied like in this problem y^3 x y^5 then you have to add the exponents so the answer would be y^7
  • Ohhh yes! The product rule
  • Yes! Known as the quotient rule
  • Csúszik: 4
  • Power to Power Rule
  • Good question! Well if we have (x^3)^5, the power is being raised to a power so we have to multiply the exponents together so it would be x^15 since 3x5 is 15.
  • What does power to power mean?
  • Csúszik: 5
  • Zero exp rule and Negative exp rule
  • Now a important rule you can't forget it's when a number is raised to the power of 0 is always equal to 1
  • so b^0 is equal to 1
  • Ohhh ok can it also be 2^-2 is the same as 1/2^2?
  • Yes!! The last rule you need to know about is the negative exponent rule this means that a^-m is equal to 1/a^m
  • Yess!!
  • Csúszik: 6
  • Final project!!
  • OK! now, its getting late. I will see you tomorrow.
  • Thank you, now I get it! Im an expert
  • Yess bella. now the teacher is going to be proud on you.
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