SOLUTION: A P^4 divided by p^-4 equals What? I need help figuring out how to do this equation

Algebra ->  Exponents -> SOLUTION: A P^4 divided by p^-4 equals What? I need help figuring out how to do this equation       Log On


   



Question 1104703: A
P^4 divided by p^-4 equals What?
I need help figuring out how to do this equation

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p%5E-4=1%2Fp%5E4-------review this first. When you are comfortable with it, look at the next part.


(I will assume you mean p and not P).
p^4 divided by p^(-4)
is

p%5E4%2F%28p%5E%28-4%29%29

p%5E4%2F%281%2Fp%5E4%29

p%5E4%2A%28p%5E4%29%2F1

p%5E4%2Ap%5E4

p%5E8

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+p%5E4+%2F+p%5E%28-4%29+
--------------------
Doing this the long way:
+%28%28+p%2Ap%2Ap%2Ap+%29%29+%2F+%28%28+1%2F%28+p%2Ap%2Ap%2Ap+%29%29%29+
+%28+p%2Ap%2Ap%2Ap%29%2A%28+p%2Ap%2Ap%2Ap+%29+=+p%5E8+
--------------------------------
Another way:
Multiply top and bottom by +p%5E4+
+%28+p%5E4+%2F+p%5E%28-4%29%29%2A%28+p%5E4+%2F+p%5E4+%29+
+p%5E8+%2F+p%5E%28+-4%2B4+%29+
+p%5E8+%2F+p%5E0+
+p%5E8+%2F+1+=+p%5E8+
--------------------------------
Use +1%2Fp%5En+=+p%5E%28-n%29+ where +n+=+-4+
+1%2Fp%5E%28-4%29+=+p%5E%28-%28-4%29%29+
+1%2Fp%5E%28-4%29+=+p%5E4+
Apply this to:
+p%5E4+%2A%28+1%2Fp%5E%28-4%29+%29+
+p%5E4+%2A+p%5E4+=+p%5E%28+4%2B4+%29+
+p%5E%28+4%2B4+%29+=+p%5E8+
------------------------
Hope this helps