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power of a power
Updated: 4/23/2020
power of a power
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Storyboard Text

  • Properties of Exponents: Power of a Power(x^n)^m = x^(n•m)
  • The power of power property tells us that when we multiply a base that has an exponent with another exponent we can just multiply the exponents and apply it to the base.
  • Let me show you an example.
  • Properties of Exponents: Power of a Power(4^2)^3 = 4^(2•3)
  • That would be 4 to the power of 6 then.
  • To solve this problem we can simply follow the power of a power property by multiplying the exponents 2 and 3 together.
  • *internally dying*
  • Properties of Exponents: Power of a Power(4^2)^3 = 4^6 = 4•4•4•4•4•4 = 4096
  • You're right, and as you can see 4 to the power of 6 is equal to 4096. See, it's pretty easy!
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