Simplify the Expression: 4^5 Divided by 4^x

We need to simplify the expression $\frac{4^5}{4^x}$.

According to the rules of exponents, specifically the power of a quotient rule, when you divide like bases you subtract the exponents. The rule is written as:

• $\frac{a^m}{a^n} = a^{m-n}$

This means we take the exponent in the numerator and subtract the exponent in the denominator. Let's apply this rule to our expression:

$\frac{4^5}{4^x} = 4^{5-x}$

Hence, the simplified form of the expression is $4^{5-x}$.

The solution to the question is: $4^{5-x}$