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 \( 1375 \).