Question

simplify 11^45 divided by 11^12

Answers

Answered by GPT-4o mini
To simplify the expression \( \frac{11^{45}}{11^{12}} \), you can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).

Applying this property:

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

Thus, the simplified expression is \( \boxed{11^{33}} \).
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