3) (a^-11 cdot a^4)/(a^-3)=a^-11 cdot a^4: a^-3

To simplify the expression , we can use the properties of exponents.First, let's simplify the numerator: Now, we can rewrite the expression as: Using the property of exponents that states , we can simplify the expression further:\( \frac{a^{-7}}{a^{-3}} = a^{-7-(-3)} = a^{-7+3} = a^{-4} \)Therefore, the simplified expression is .