Respuesta :

Answer:

Down Below

Step-by-step explanation:

Exponent Rules:

  • [tex]a^x * a^b = a^{a + b}, \frac{1}{a^{|x+b|}}[/tex]
  • [tex]\frac{a^x}{a^b} = a^{x - b}[/tex]
  • [tex](a^x)^b = a^{xb}[/tex]

Given these rules,

  • [tex]3^9 * 3^4 = 3^{13}[/tex]
  • [tex]3^4 * 3^{-9} = \frac{1}{3^5}[/tex]
  • [tex]\frac{3^9}{3^5} = 3^{9 - 4} = 3^5[/tex]
  • [tex](3^9)^4 = 3^{36}[/tex]

-Chetan K