simplify 13^12 / 13^-10

Answer 1

To simplify \(13^{12} / 13^{-10}\), you can use the law of exponents which states that when dividing powers with the same base, you subtract the exponents:

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

In this case:

\(13^{12} / 13^{-10} = 13^{12 - (-10)}\)
\(13^{12} / 13^{-10} = 13^{12 + 10}\)
\(13^{12} / 13^{-10} = 13^{22}\)

So, \(13^{12} / 13^{-10}\) simplifies to \(13^{22}\).