Question

rewrite using a single positive exponent.
\\(\frac{5^7}{5^4}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing two powers with the same base, we subtract the exponents: $\frac{a^m}{a^n}=a^{m - n}$ (where $a
eq0$, $m$ and $n$ are real numbers). Here, the base $a = 5$, $m = 7$, and $n = 4$.

Step2: Apply the rule

Substitute the values into the formula: $\frac{5^7}{5^4}=5^{7 - 4}$.

Step3: Calculate the exponent

Simplify the exponent: $7-4 = 3$. So, $\frac{5^7}{5^4}=5^3$.

Answer:

$5^3$