Question

simplify 13^10 / 13^-10

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

To simplify \(13^{10} / 13^{-10}\), you can make use of the exponent rules, one of which states that when you divide two numbers with the same base, you subtract the exponents:

\(a^m / a^n = a^{m-n}\)

Applying this rule to your expression:

\(13^{10} / 13^{-10} = 13^{10 - (-10)}\)
\(= 13^{10 + 10}\)
\(= 13^{20}\)

Therefore, the simplified form of \(13^{10} / 13^{-10}\) is \(13^{20}\).