joemama122445 joemama122445
  • 21-01-2020
  • Mathematics
contestada

Simplify (3b^8 b^-2)^3

Simplify 3b8 b23 class=

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sqdancefan
sqdancefan sqdancefan
  • 21-01-2020

Answer:

  27b^18

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

___

(3b^8·b^-2)^3 = (3b^(8-2))^3 = (3b^6)^3

  = 3^3·b^(6·3)

  = 27b^18

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