Question

simplify. express your answer as a single term using exponents.\\(\frac{247^{7}}{247^{3}}\\)

Explanation:

Step1: Recall the exponent rule for division

When dividing two numbers with the same base, we subtract the exponents. The rule is $\frac{a^m}{a^n} = a^{m - n}$, where $a$ is the base and $m$ and $n$ are the exponents.
Here, the base $a = 247$, $m = 7$, and $n = 3$.

Step2: Apply the exponent rule

Substitute the values into the rule: $\frac{247^7}{247^3}=247^{7 - 3}$.

Step3: Calculate the exponent

Simplify the exponent: $7-3 = 4$. So, $247^{7 - 3}=247^4$.

Answer:

$247^4$