11³•5⁴ 11²•5

To simplify the expression \( \frac{11^3 \cdot 5^4}{11^2 \cdot 5} \), you can use the properties of exponents.

1. First, separate the bases in the expression:

\[ \frac{11^3 \cdot 5^4}{11^2 \cdot 5} = \frac{11^3}{11^2} \cdot \frac{5^4}{5} \]

2. Now apply the rule \( \frac{a^m}{a^n} = a^{m-n} \):

For the base \( 11 \): \[ \frac{11^3}{11^2} = 11^{3-2} = 11^1 = 11 \]

For the base \( 5 \): \[ \frac{5^4}{5^1} = 5^{4-1} = 5^3 \]

3. Now combine the results:

\[ 11 \cdot 5^3 \]

4. To express \( 5^3 \): \[ 5^3 = 125 \]

5. Therefore, the final result is:

\[ 11 \cdot 125 = 1375 \]

Thus, the simplified expression is \( 1375 \).