Simplify 13 to the power of 12÷13 to the power of −10

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To simplify 13 to the power of 12 ÷ 13 to the power of -10, we can rewrite it as (13^12) / (13^-10).

Using the rule of exponents, when you divide two numbers with the same base, you subtract the exponents. Therefore, we can simplify it further as 13^(12 - (-10)) = 13^(12 + 10) = 13^22.

So, 13 to the power of 12 ÷ 13 to the power of -10 simplifies to 13^22.