Question

Select the equivalent expression. ma") =? 62 Cou Choose 1 answer: 62 А Sol a 20 b B ( Line 1 С a12.68

Answer 1

Option C is correct.

`\begin{gathered} ((a^(-3))/(b^2))^4 \\ =(1)/(a^(12).b^8) \end{gathered}`

Step-by-step explanation

We will use the laws of indices to simplify this expression

- When a variable carries a power and is raised to an extra power, the answer is the variable carrying the product of these two powers.

- When a variable is raised to the power of a negative number, this is the same as 1 over that variable raised to the positive value of that power.

`\begin{gathered} ((a^(-3))/(b^2))^4 \\ =((a^(-3))^4)/((b^2)^4) \\ =(a^(-3*4))/(b^(2*4)) \\ =(a^(-12))/(b^8) \\ =(1)/(a^(12).b^8) \end{gathered}`

Hope this Helps!!!