Question
13 raised to the 12 ÷13 raised to the −10 power
Answers
GPT-4o mini
To simplify the expression \( 13^{12} \div 13^{-10} \), you can use the properties of exponents. Specifically, the property that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property here:
\[
13^{12} \div 13^{-10} = 13^{12 - (-10)}
\]
This simplifies to:
\[
13^{12 + 10} = 13^{22}
\]
So, the simplified expression is:
\[
13^{22}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property here:
\[
13^{12} \div 13^{-10} = 13^{12 - (-10)}
\]
This simplifies to:
\[
13^{12 + 10} = 13^{22}
\]
So, the simplified expression is:
\[
13^{22}
\]