AnastasiaY740577 AnastasiaY740577
  • 03-11-2022
  • Mathematics
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Need help Which expression is equivalent to the given expression?(ab^2)^3/b^OA.a3/bOB.a3boc.a4/bOD.a3

Need help Which expression is equivalent to the given expressionab23bOAa3bOBa3boca4bODa3 class=

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DomonicH637253 DomonicH637253
  • 03-11-2022

Given the expression:

[tex]\frac{(ab^2)^3}{b^5}[/tex]

We will use the following rules to modify the given expression:

[tex]\begin{gathered} (a^{m)n}=a^{mn} \\ \frac{a^m}{a^n}=a^{m-n} \end{gathered}[/tex]

So, the answer will be as follows:

[tex]\frac{(ab^2)^3}{b^5}=\frac{a^3b^6}{b^5}=a^3b^{6-5}=a^3b[/tex]

So, the answer will be option ⇒ B. a³b

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