SOLUTION: This one is giving me a fit. Simplify. 5w^9 z^7* 3w^-2 z^-4 x^5 * 4x^-5 Use only positive exponents to write your answer.

Algebra ->  Graphs -> SOLUTION: This one is giving me a fit. Simplify. 5w^9 z^7* 3w^-2 z^-4 x^5 * 4x^-5 Use only positive exponents to write your answer.      Log On


   

Question 187678: This one is giving me a fit.
Simplify.
5w^9 z^7* 3w^-2 z^-4 x^5 * 4x^-5
Use only positive exponents to write your answer.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify.
5w^9 z^7* 3w^-2 z^-4 x^5 * 4x^-5
----
(5*3*1*1*4)*(w^9*w^-2)*(z^7*z^-4)*(x^5*x^-5)
= 60 w^7 z^3
=================
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: whenever you have negative exponents raised over a fraction, you simply flip the fraction to make the exponents positive.

For example: %281%2F2%29%5E%28-5%29=%282%2F1%29%5E5


In this case, 3w%5E%28-2%29=3%2Fw%5E2, z%5E%28-4%29=1%2Fz%5E4, and 4x%5E%28-5%29=4%2Fx%5E5


So

5w%5E9%2Az%5E7%2A3w%5E%28-2%29%2Az%5E%28-4%29%2Ax%5E5%2A4x%5E%28-5%29


becomes


5w%5E9%2Az%5E7%2A%283%2Fw%5E2%29%281%2Fz%5E4%29%2Ax%5E5%2A%284%2Fx%5E5%29


----------------------------------------------------------


5w%5E9%2Az%5E7%2A%283%2Fw%5E2%29%281%2Fz%5E4%29%2Ax%5E5%2A%284%2Fx%5E5%29 Start with the given expression.


%285%2A3%2A4%2Aw%5E9%2Az%5E7%2Ax%5E5%29%2F%28w%5E2%2Az%5E4%2Ax%5E5%29 Combine and multiply the fractions.


%2860%2Aw%5E9%2Az%5E7%2Ax%5E5%29%2F%28w%5E2%2Az%5E4%2Ax%5E5%29 Multiply


60%2Aw%5E%289-2%29%2Az%5E%287-4%29%2Ax%5E%285-5%29 Now subtract the exponents to divide. Only subtract the exponents of the common terms.


60%2Aw%5E7%2Az%5E3%2Ax%5E0 Subtract


60%2Aw%5E7%2Az%5E3 Simplify



So 5w%5E9%2Az%5E7%2A3w%5E%28-2%29%2Az%5E%28-4%29%2Ax%5E5%2A4x%5E%28-5%29=60%2Aw%5E7%2Az%5E3 as long as x%3C%3E0, w%3C%3E0 and z%3C%3E0