Mathematics

Question

which expression is equivalent to (3^2)^-2

–81
–12
1\81
1\12

2 Answer

  • 1/81
    is the answer you were looking for:)
  • Answer:

    Option C is correct

    [tex]\frac{1}{81}[/tex]

    Step-by-step explanation:

    Given the expression:

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

    We can write [tex]3^2[/tex] as:

    [tex]3^2 = 3 \cdot 3 = 9[/tex]

    then;

    [tex](9)^{-2}[/tex]

    Using the exponent rule:

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

    then;

    [tex]\frac{1}{9^2}[/tex]

    ⇒[tex]\frac{1}{81}[/tex]

    Therefore, the expression which is equivalent to [tex](3^2)^{-2}[/tex] is, [tex]\frac{1}{81}[/tex].

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