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goldenfox [79]
3 years ago
8

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

Mathematics
1 answer:
stealth61 [152]3 years ago
7 0

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}}

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