Question

Laws of exponent - divisionsimplify16x⁴____24x

Answer 1

`(2)/(3)x^3`

Step-by-step explanation:

Given the expression:

`(16x^4)/(24x)`

First, rewrite the expression:

`\begin{gathered} =(16)/(24)*(x^4)/(x) \\ =(2)/(3)*(x^4)/(x) \end{gathered}`

Next, apply the division law of exponents.

`\begin{gathered} =(2)/(3)* x^(4-1) \\ =(2)/(3)* x^3 \\ =(2)/(3)x^3 \end{gathered}`

The simplified form is ⅔x³.