Question

question
simplify to a single power of 4:
\\(\frac{4^4}{4^3}\\)
answer attempt 1 out of 2
answer: \\(4^{\square}\\) submit answer

Explanation:

Step1: Recall exponent rule for division

When dividing exponents with the same base, we use the rule $\frac{a^m}{a^n} = a^{m - n}$, where $a = 4$, $m = 4$, and $n = 3$.

Step2: Apply the rule

Substitute the values into the rule: $4^{4 - 3}$.

Step3: Simplify the exponent

Calculate $4 - 3 = 1$, so we get $4^1$.

Answer:

$4^1$ (or simply $4$ since $4^1 = 4$)