Question

Simplify 13 superscript 12 ÷ 13 superscript −10
.(1 point)

Answer 1

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

\[
a^m \div a^n = a^{m-n}
\]

Applying this property:

\[
13^{12} \div 13^{-10} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]

So, \( 13^{12} \div 13^{-10} = 13^{22} \).