Answer: [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
1. Original Equation: [tex]4^4(4^-^7)(4)[/tex]
2.Simplify: [tex]4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\[/tex]
3.Apply exponent rule: [tex]4^4^-^7^+^1[/tex]
4. Simplify: [tex]4^-^2\\[/tex]
5.Apply exponent rule: [tex]\frac{1}{4^2}[/tex]
6.Simplify: [tex]\frac{1}{16}[/tex]
