Question

Write the expression with positive exponents only. Then​ simplify, if possible.
negative 6 Superscript negative 2
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Part 1
negative 6 Superscript negative 2equals
  
enter your response here  ​(Type a​ fraction.)

Answer 1

To express \(-6^{-2}\) with positive exponents only, we can use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\).

So, we have:

\[
-6^{-2} = \frac{1}{-6^2}
\]

Next, we simplify \( -6^2\):

\[
-6^2 = - (6^2) = -36
\]

Thus, we can rewrite the expression:

\[
-6^{-2} = \frac{1}{-36}
\]

To express this in a more standard fraction format:

\[
-6^{-2} = -\frac{1}{36}
\]

So the final answer is:

\[
-6^{-2} = -\frac{1}{36}
\]