Rewrite this expression using a single, positive exponent.

Question

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:

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