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स्टोरीबोर्ड पाठ

  • Definition of Base
  • Hi Mr. Gary we need help understanding exponents can you help us?
  • can you give us a example?
  • To be put simply, The base is the number that is getting multiplied by a exponent
  • an example is that in the equation 5^100, the base that would be 5.
  • of course! lets start with bases of a exponent
  • Definition of Exponent
  • In your example of 5^100 what is the tiny number on top of the base?
  • So the problem 5^100 would be multiplying 5 with itself 100 times?
  • That is the exponent. The exponent is a number that states how many times the base number is used in multiplication
  • You're correct!!
  • Product and Quotient rule
  • what about for division?
  • when multiplying exponential expressions such as 2^3 and 2^7 you add the exponents together and keep the base the same the answer to this example would be 2 ^9
  • when dividing exponential expressions your subtract the exponents instead and keep the bases as the same
  • Now you must understand how to add and multiple exponents
  • Also it is important to remember that the bases must be the same in order to use this rule
  • Power to Power rule
  • do we add the exponents when we raise an exponent raised to another exponent together?
  • When solving problems such as (5^5)^6 you multiply the exponents together
  • no
  • Zero to exp rule
  • What if I were to have a exponent that is a 0 to a base?
  • If that occurs, the answer for that problem would be 1
  • Negative exp rule
  • What would you do if you had a negative exponent to a number?
  • if you ever encounter a negative exponent remember to put the whole negative exponential expression into the denominator
  • So the answer of the example you gave would be 5^30?
  • Correct!!
  • always remember that any base with a exponent of zero is equal to one
  • Ohhh thank you!!
  • For example, if were to have the problem 2^-6 you would rewrite it as 1/2^6
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