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We should know that 8 = 2. To see how this is equivalent to 8% = 2 we can solve the equation 8" - 2. To
do this, we can rewrite the equation as:
(2")" = 2
How can we now use this equation to see that 8 1/3=2

We should know that 8 2 To see how this is equivalent to 8 2 we can solve the equation 8 2 To do this we can rewrite the equation as 2 2 How can we now use this class=

Respuesta :

sqdancefan

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Answer:

  • show n = 1/3
  • rewrite (2^3)^n as 8^(1/3)

Step-by-step explanation:

By the rules of exponents, ...

  (a^b)^c = a^(bc)

__

  (2^3)^n = 2^1 . . . . . given

  2^(3n) = 2^1 . . . . . . rule of exponents

  3n = 1 . . . . . . . . . . . equate exponents

  n = 1/3 . . .  . . . . . . . divide by 3

Recognize that 2^3 = 8, and 2^1 = 2, then substitute into the given equation:

  8^(1/3) = 2
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