Question

simplify. express your answer as a single term using exponents.\\(\frac{424^{5}}{424^{4}}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing two numbers with the same base, we subtract the exponents: $\frac{a^m}{a^n} = a^{m - n}$ (where $a
eq0$). Here, the base $a = 424$, $m = 5$, and $n = 4$.

Step2: Apply the exponent rule

Substitute the values into the formula: $424^{5 - 4}$.

Step3: Simplify the exponent

Calculate $5 - 4 = 1$, so we get $424^1$.

Step4: Simplify the term

Any number to the power of 1 is the number itself, so $424^1 = 424$.

Answer:

$424$ (or $424^1$)