Question

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

Answer 1

Answer:

$\frac{1}{w^{36}}$

Step-by-step explanation:

Given:

$(\frac{w^8}{w^2})^{-6}$

We need to Simplify the equation;

To Simplify the equation we will use Law of indices.

$\frac{x^a}{x^b}=x^{a-b}$

$\frac{w^8}{w^2} = w^{8-2}= w^6$

Now we get;

$(w^6)^{-6}$

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

$(x^a)^b=x^{a\times b}$

$(w^6)^{-6} =w^{6\times -6} = w^{-36}$

Also again Law of Indices states;

$x^{-a}= \frac{1}{x^a}$

$w^{-36}= \frac{1}{w^{36}}$

Hence the Final Answer is $\frac{1}{w^{36}}$