SOLUTION: please help me simplify these expressions leaving the final answer with only positive exponents: 1. {{{(x^4y^(-5))/(x^(-8)z^2)^(-m)}}} 2. {{{((2x^(-5)y)/(y^(-8)*z^(-5)))^(

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Question 209010: please help me simplify these expressions leaving
the final answer with only positive exponents:
1.
2.

I'll wait for your reply sir/madam. It will be a great help for my homework. Thank you.

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(x^4 y^-5/x^-8 z^2)^-m (2x^-5y/y^-8 z^-5)^-3
---
= (x^12/y^5z^2)^-m (2y^8z^5/x^5)^-3
---
= (y^5z^2/x^12)^m (x^5/2y^8z^5)^3
---
= (y^5m*z^2m/x^12m) (x^15/(8*y^24*z^15))
---
= x^(15-12m) * y^(5m-24) *z^(2m-15)
============================================
Cheers,
Stan H.

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
please help me solve this equation:

  

Remove the parentheses on the bottom by multiplying
each inner exponent by the outer exponent 





Get rid of the negative exponents by 
1. Move them up or down across the fraction bar
2. Change the sign of the exponent to positive:

In this case we move the  down to
the bottom as  and we move the 
up to the top as  



Now subtract exponents of the x's



or if you prefer you can subtract
exponents the other way and get



Either is correct since they are
equivalent.

=======================================

 

Make sure every factor in both numerator
shows its exponent, whether it is a number 
or a letter, and even if it has exponent 1:

 

Remove the parentheses by multiplying each
of the five inside exponents by the outside
exponent :





Now we only have to move the factors with negative
exponents from top to bottom and change the signs
of the exponents to positive:



Finally we write  as 
and add exponents of y:



Edwin





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