Question

simplify the following, giving your answer with a positive exponent: $\frac{15x^{5}}{3x^{-4}}$. $\frac{15x^{5}}{3x^{-4}}=$ enter your next step here

Explanation:

Step1: Dividir los coeficientes

$\frac{15}{3}=5$

Step2: Aplicar la regla de exponentes $\frac{x^m}{x^n}=x^{m - n}$

$\frac{x^{5}}{x^{-4}}=x^{5-(-4)}=x^{5 + 4}=x^{9}$

Step3: Multiplicar los resultados

$5\times x^{9}=5x^{9}$

Answer:

$5x^{9}$