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simplify. \\(\\frac{x^7}{x^2}\\)

Question

simplify.
\\(\frac{x^7}{x^2}\\)

Explanation:

Step1: Apply exponent rule for division

When dividing exponential expressions with the same base, we subtract the exponents. The rule is $\frac{x^m}{x^n}=x^{m - n}$ where $m = 7$ and $n = 2$.
$\frac{x^{7}}{x^{2}}=x^{7 - 2}$

Step2: Calculate the exponent

Subtract the exponents: $7-2 = 5$.
So, $x^{7 - 2}=x^{5}$

Answer:

$x^5$