lillyteague1235 lillyteague1235
  • 18-11-2021
  • Mathematics
contestada

simplify : (81/16)^-1/4 = a/b

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-11-2021

Answer:

  a/b = 2/3

Step-by-step explanation:

  (81/16)^(-1/4) = (16/81)^1/4 = ((2^4)/(3^4))^(1/4) = (2^(4/4))/(3^(4/4)) = 2/3

_____

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/(a^b)

And the reciprocal of a fraction is ...

  1/(a/b) = b/a

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