\( 1.1 \quad \frac { p ^ { 8 } p ^ { 3 } } { p ^ { 4 } p } \)

To simplify the expression \( \frac { p ^ { 8 } p ^ { 3 } } { p ^ { 4 } p } \), we start by applying the laws of exponents. The numerator can be simplified as follows: \( p^8 \cdot p^3 = p^{8+3} = p^{11} \). Now, for the denominator: \( p^4 \cdot p = p^{4+1} = p^{5} \). Putting it together, we get: \[ \frac{p^{11}}{p^{5}} = p^{11-5} = p^6 \] So, the simplified expression is \( p^6 \). Now, let's break down each step for clarity and be careful with those exponent rules!