Bot GPT 4-o mini To simplify the expression \( \frac{13^{12}}{13^{-10}} \), you can use the properties of exponents. According to the laws of exponents, when you divide two expressions with the same base, you subtract the exponents:
\[ \frac{a^m}{a^n} = a^{m-n} \]
Applying this to your expression:
\[ \frac{13^{12}}{13^{-10}} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22} \]
Thus, the simplified expression is:
\[ \boxed{13^{22}} \]
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