dvaqs12345
dvaqs12345 dvaqs12345
  • 07-02-2021
  • Mathematics
contestada

guys help. show work please

guys help show work please class=

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sqdancefan
sqdancefan sqdancefan
  • 07-02-2021

9514 1404 393

Answer:

  2^17×3^7

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

__

  [tex](2^9\times3^5)\times(2^4\times3)^2=2^9\times3^5\times2^{4\cdot2}\times3^2\\\\=2^{9+8}\times3^{5+2}=\boxed{2^{17}\times3^7}[/tex]

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