Simplify. Rewrite the expression in the form of 4^n.(4^11)(4^-8)

Answer:[tex]4^{3}[/tex]Step-by-step explanation:The given expression is[tex](4^{11})(4^{-8})[/tex]Notice that this expression is the product of two powers, to rewrite it, we need to use the following property[tex]x^{m} \times x^{n}= x^{m+n}[/tex]Using this property, we have[tex](4^{11})(4^{-8})=4^{11-8}=4^{3}[/tex]Therefore, the answer is [tex]4^{3}[/tex]