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Laws of exponent - divisionsimplify16x⁴____24x

User Vjatseslav Gedrovits
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1 Answer

30 votes
30 votes

Answer:


(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.

User Metaliving
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