Which of the following is an equivalent expression to 5 ^9.5^-13

Answer 1

To simplify the expression \(5^{9.5^{-13}}\), we can first rewrite \(9.5^{-13}\) using properties of exponents.

We know that: \[ a^{-b} = \frac{1}{a^b} \]

So we can rewrite \(9.5^{-13}\) as: \[ 9.5^{-13} = \frac{1}{9.5^{13}} \]

Now substituting this back into the original expression, we have: \[ 5^{9.5^{-13}} = 5^{\frac{1}{9.5^{13}}} \]

This is the equivalent expression to \(5^{9.5^{-13}}\):

\[ 5^{\frac{1}{9.5^{13}}} \]

If you have other options or need further simplification please share them, and I can assist you further.