Question

algebra and geometry review introduction to the quotient r simplify. ( \frac{x^7}{x^6} )

Explanation:

Step1: Recall exponent rule

When dividing with the same base, subtract exponents: $\frac{x^m}{x^n}=x^{m - n}$. Here, $m = 1$ (since $x = x^1$) and $n = 6$.

Step2: Apply the rule

$\frac{x}{x^6}=x^{1 - 6}=x^{-5}$. Using the negative exponent rule $x^{-n}=\frac{1}{x^n}$, we get $\frac{1}{x^5}$.

Answer:

$\frac{1}{x^5}$ (or $x^{-5}$)