Respuesta :

lambuhere

Answer:

1

Step-by-step explanation:

using the laws of exponents

(a^m)^n = a^mn

therefore, 3^(2)(-2)

=> 3^-4 = 1/81

Answer:

[tex]\frac{1}{3^{4} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex] and [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex](3^{2} )^{-2}[/tex] = [tex]3^{2(-2)}[/tex] = [tex]3^{-4}[/tex] = [tex]\frac{1}{3^{4} }[/tex] = [tex]\frac{1}{81}[/tex]