We are given the expression
[tex]\frac{4^7}{4}[/tex]We must recall a property of exponents:
[tex]\frac{4^x}{4^y}=4^{x-y}^{}[/tex]In this case, x=7 and y=1 (the exponent is hidden but it's 1)
Thus, applying the above property:
[tex]\frac{4^7}{4}=4^{7-1}=4^6[/tex]