If log

_{3}x^{2}= -8, what is x?-
**A.**

(frac{1}{3}) -
**B.**

(frac{1}{9}) -
**C.**

(frac{1}{27}) -
**D.**

(frac{1}{81})

##### Correct Answer: Option D

##### Explanation

log_{3}x^{2} = -8

x^{2} = 3^{-8}

x = (3^{-8 times frac{1}{2}})

x = 3^{-4}

x = (frac{1}{3^4})

x = (frac{1}{81})

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