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1 vote
Select the equivalent expression. (Please Help!!!)

(a/b^3)^4 = ?
Choose 1 answer:
A. a^8/b^8
B. a^4/b^12
C. a/b^81
D. a^5/b^7

2 Answers

3 votes


\large\displaystyle\text{$\begin{gathered}\sf \left((a)/(b^(3) )\right)^(4) \end{gathered}$}

Use the rules of exponents to simplify the expression.


  • \large\displaystyle\text{$\begin{gathered}\sf \left((a^(1) )/(b^(3))\right)^(4) \end{gathered}$}

To raise the quotient of two numbers to a power, raise each power to the power and then divide it.


  • \large\displaystyle\text{$\begin{gathered}\sf ((a^(1))^(4) )/((b^(3))^(4) ) \end{gathered}$}

To raise a power to another power, multiply the exponents.


  • \large\displaystyle\text{$\begin{gathered}\sf (a^(4) )/(b^(3*4) ) \end{gathered}$}

Multiply 3 by 4.


  • \boxed{\large\displaystyle\text{$\begin{gathered}\sf (a^(4) )/(b^(12) ) \end{gathered}$}}

We conclude that: the correct option is "B".

User Brennon
by
7.6k points
4 votes

Answer: B. a^4/b^12

Explanation:

User Vyrp
by
8.6k points

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