Answer:
[tex]\frac{2}{3}x^3[/tex]Explanation:
Given the expression:
[tex]\frac{16x^4}{24x}[/tex]First, rewrite the expression:
[tex]\begin{gathered} =\frac{16}{24}\times\frac{x^4}{x} \\ =\frac{2}{3}\times\frac{x^4}{x} \end{gathered}[/tex]Next, apply the division law of exponents.
[tex]\begin{gathered} =\frac{2}{3}\times x^{4-1} \\ =\frac{2}{3}\times x^3 \\ =\frac{2}{3}x^3 \end{gathered}[/tex]The simplified form is ⅔x³.
