Simplify
13^12 divided by 13^-10
To simplify \( 13^{12} \div 13^{-10} \), you can use the properties of exponents to combine the terms.
When you divide two terms with the same base, you subtract their exponents as per the quotient rule \( a^m \div a^n = a^{m-n} \):
\( 13^{12} \div 13^{-10} = 13^{(12 - (-10))} \)
Now let's do the subtraction:
\( 13^{12 - (-10)} = 13^{12 + 10} \)
\( 13^{22} \)
So, the simplified version of \( 13^{12} \div 13^{-10} \) is \( 13^{22} \).