Asked by YO
Question Simplify 13^12÷13^−10 .
Answers
Answered by
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 have:
\[
13^{12} \div 13^{-10} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]
So, the simplified form is:
\[
\boxed{13^{22}}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property, we have:
\[
13^{12} \div 13^{-10} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]
So, the simplified form is:
\[
\boxed{13^{22}}
\]