Question

What rational number could be used as an exponent to rewrite 5/20
The rational number that could be used as an exponent is

Answer 1

To rewrite \( \frac{5}{20} \) as an exponent, we can first simplify \( \frac{5}{20} \).

\[
\frac{5}{20} = \frac{1}{4}
\]

Now, one way to express \( \frac{1}{4} \) is as an exponent of \( \frac{1}{2} \):

\[
\frac{1}{4} = \left(\frac{1}{2}\right)^2
\]

Thus, the rational number that could be used as an exponent to rewrite \( \frac{5}{20} \) is:

\[
-2
\]

Therefore, \( \frac{5}{20} \) can be rewritten as \( \left(\frac{1}{2}\right)^{-2} \).