Question

Rewrite this expression using a single, positive exponent.
6
−2
=

Answer 1

To rewrite the expression \( 6^{-2} \) using a single positive exponent, you can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \).

Thus, we have:

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

Calculating \( 6^2 \):

\[
6^2 = 36
\]

So,

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

The expression \( 6^{-2} \) rewritten using a single, positive exponent is:

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

And you can also refer to it as:

\[
\frac{1}{36}
\]