Question

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

Answer 1

Answer: B. a^4/b^12

Step-by-step explanation:

Answer 2

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

Use the rules of exponents to simplify the expression.

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

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

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

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

• $\large\displaystyle\text{ \begin{gathered}\sf \frac{a^{4} }{b^{3\times4} } \end{gathered} }$

Multiply 3 by 4.

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

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