SOLUTION: If m and p are positive integers and (2√2)^m = 32^p, what is the value of p/m ?

Question 1105179: If m and p are positive integers and (2√2)^m = 32^p, what is the value of p/m ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If m and p are positive integers and (2√2)^m = 32^p,
what is the value of p/m?
:

we can write both sides as power of 2
:
= ; that's 3m/2
therefore
=
multiply both sides by 2
3m = 10p
"What is the value of p/m"
=
:
:
Check this with original equation, replacing m and p, use a calc
=
32768 = 32768
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SOLUTION: If m and p are positive integers and (2&#8730;2)^m = 32^p, what is the value of p/m ?

SOLUTION: If m and p are positive integers and (2√2)^m = 32^p, what is the value of p/m ?