oswaldodmz oswaldodmz
  • 07-02-2020
  • Mathematics
contestada

for exponential functions which of the following expression is equal to [f(3)]^4]
F(3+4)
F(3^4)
F(3*4)

Respuesta :

sam4040
sam4040 sam4040
  • 14-02-2020

Answer:

[tex]F(3*4)[/tex]

Step-by-step explanation:

[tex]Let\ exponential\ function\ F(x)=a^x\\\\F(3)=a^3\\\\\{F(3)\}^4=\{a^3\}^4\\\\\{F(3)\}^4=a^{3\times 4}...........eq(1)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ (m^n)^k=m^{nk}\\\\Now\ F(3*4)=a^{3\times 4}.......eq(2)\\\\From\ eq1\ and\ eq2\\\\\{F(3)\}^4=F(3\times 4)\\\\\{F(3)\}^4=F(3*4)[/tex]

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