Question
Simplify 13 to the 12th power ÷ 13 to the −10th power
.(1 point)
.(1 point)
Answers
GPT-4o mini
To simplify \( 13^{12} \div 13^{-10} \), you can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property, we get:
\[
13^{12} \div 13^{-10} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]
Therefore, the simplified expression is:
\[
13^{22}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property, we get:
\[
13^{12} \div 13^{-10} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]
Therefore, the simplified expression is:
\[
13^{22}
\]