Respuesta :

loneguy

[tex](3^{-2})^4 = 3^{-2 \times 4} = 3^{-8} = \dfrac 1{3^8}\\\\\text{Hence the answer is D.}[/tex]

Nepalieducation

Answer:

1/3^8

Step-by-step explanation:

[tex]\hookrightarrow (3^{-2} )^{4} \\[/tex]

As,

x⁻²=1/x²

Then,

[tex]\hookrightarrow (\frac{1}{3^{2} } )^{4} \\\\\hookrightarrow (\frac{1}{9} )^{4} \\\\\hookrightarrow ((\frac{1}{3} )^{2})^{4} \\\\\hookrightarrow (\frac{1}{3})^{8}[/tex]