Simplify (p^6)^4. Write your answer using only positive exponents

1/p4

Step-by-step explanation:

Consider  p 6 × p − 4

. This is the same as  p 6 − 4 = p 2

So now we have  ( p 2 ) − 2

This is the same as    1 ( p 2 ) 2  

Which is the same as  

 1 p 2 × 2 = 1 p 4

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Further explanation

Consider  p 6 × p − 4  

This is the same as  p × p × p × p × p × p p × p × p × p  

Which is the same as  p × p × p × p × p × p p × p × p × p

= p 2 × 1 = p 2

→ p 6 − 4

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Consider  ( p 2 ) 2  This is  ( p × p ) 2

→ p × p × p × p = p 4

→ p 2 × 2

But we need  

( p 2 ) − 2