Question

6.03 dividing polynomials by a monomial

1. simplify: $-\frac{8x^{7}}{24x^{2}}$

$-\frac{8x^{7}}{24x^{2}} = \boxed{}$
enter your next step here

Explanation:

Step1: Split coefficients and variables

$-\frac{8}{24} \cdot \frac{x^7}{x^2}$

Step2: Simplify coefficient fraction

$-\frac{1}{3} \cdot \frac{x^7}{x^2}$

Step3: Apply exponent division rule

$-\frac{1}{3} \cdot x^{7-2}$

Step4: Calculate final exponent

$-\frac{1}{3}x^5$

Answer:

$-\frac{1}{3}x^5$