capcomplayerouqan2
capcomplayerouqan2 capcomplayerouqan2
  • 04-03-2019
  • Mathematics
contestada

simplify (3^-2)^4 A. 3^8 B. 1/3^2 C. 1/3^8 D. 3^2

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carlosego
carlosego carlosego
  • 04-03-2019

Answer: OPTION C

Step-by-step explanation:

By the powers to powers rule you have that:

[tex](a^m)^{n}=a^{m*n}[/tex]

By the negative exponents rule, you have that:

[tex]a^{-b}=\frac{1}{a^{b}}[/tex]

Therefore, applying this rules you obtain the following result:

 [tex](3^{-2})^{4}=(\frac{1}{3^{2}})^{4}[/tex]

[tex]\frac{1}{3^{2*4}}=\frac{1}{3^{8}}[/tex]

Therefore, the answer is the option C.

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