Simplify 11^45 divided by 11^12.

Answer 1

To simplify \( \frac{11^{45}}{11^{12}} \), you can use the properties of exponents. Specifically, when dividing numbers with the same base, you subtract the exponents:

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

Applying this to our problem:

\[ \frac{11^{45}}{11^{12}} = 11^{45 - 12} = 11^{33} \]

Thus, the simplified form of \( \frac{11^{45}}{11^{12}} \) is \( 11^{33} \).