Question

(W^8/w^8)^-6 simplify

Answer 1

`(1)/(w^(36))`

Explanation:

Given:

`((w^8)/(w^2))^(-6)`

We need to Simplify the equation;

To Simplify the equation we will use Law of indices.

`(x^a)/(x^b)=x^(a-b)`

`(w^8)/(w^2) = w^(8-2)= w^6`

Now we get;

`(w^6)^(-6)`

Now Simplifying equation we will use Law of indices we get;

`(x^a)^b=x^(a* b)`

`(w^6)^(-6) =w^(6* -6) = w^(-36)`

Also again Law of Indices states;

`x^(-a)= (1)/(x^a)`

`w^(-36)= (1)/(w^(36))`

Hence the Final Answer is
`(1)/(w^(36))`