9d6txswmvr 9d6txswmvr
  • 11-09-2021
  • Mathematics
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Fractional indices pls help

Fractional indices pls help class=

Respuesta :

manissaha129
manissaha129 manissaha129
  • 11-09-2021

Answer:

Formula used :

  • (a^m)^n = a^(m×n)
  • a^m × a^n = a^(m+n)

[tex]27 \times {9}^{3x} = {3}^{k} \\ {3}^{3} \times { {(3}^{2}) }^{3x} = {3}^{k} \\ {3}^{k} = {3}^{3} \times {3}^{(2 \times 3x)} \\ {3}^{k} = {3}^{3} \times {3}^{6x} \\ {3}^{k} = {3}^{(6x + 3)} \\ \boxed{k = 6x + 3}[/tex]

  • k = (6x+3) is the right answer.
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