Question

What is the answer for (12y¹¹ /6 y⁴)⁻⁴

Answer 1

`(1)/(16y^(28))`

STEP - BY - STEP EXPLANATION

What to find?

The solution to the system of equation.

Given:

(12y¹¹ /6 y⁴)⁻⁴

`((12y^(11))/(6y^4))^(-4)`

To solve the given problem, we will follow the steps below:

Step 1

Recall the law of indices that is applicable.

That is;

`\begin{gathered} \frac{a^3^{}^{}^{}}{a^2}=a^(3-2) \\ \\ a^(-2)=(1)/(a^2) \end{gathered}`

Step 2

Apply the first law on the given expression.

`\begin{gathered} (2y^(11-4))^(-4) \\ \\ (2y^7)^(-4) \end{gathered}`

Step 3

Apply the second law to the above.

`=(1)/((2y^7)^4)`
`=(1)/(16y^(28))`

Therefore,

`((12y^(11))/(6y^4))^(-4)=(1)/(16y^(28))`