Use the Negative Exponent Rule to generate an equivalent expression to 3−12

Question

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Answer 1

The Negative Exponent Rule states that \( a^{-n} = \frac{1}{a^n} \), where \( a \) is a non-zero number and \( n \) is a positive integer.

To apply this rule to the expression \( 3^{-12} \):

\[ 3^{-12} = \frac{1}{3^{12}} \]

So, the equivalent expression for \( 3^{-12} \) is:

\[ \frac{1}{3^{12}} \]