Question

simplify 5^negative 2

negative 10
negative 25
1/10
1/25

Answer 1

To simplify \( 5^{-2} \), we use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Therefore:

\[
5^{-2} = \frac{1}{5^2}
\]

Now, calculate \( 5^2 \):

\[
5^2 = 25
\]

So:

\[
5^{-2} = \frac{1}{25}
\]

Thus, the simplified form of \( 5^{-2} \) is \( \frac{1}{25} \).

The correct choice from your options is:

\[
\frac{1}{25}
\]