Answer:
![3m\sqrt[5]{2m^4p^4}](https://tex.z-dn.net/?f=3m%5Csqrt%5B5%5D%7B2m%5E4p%5E4%7D)
Step-by-step explanation:
We want to find the fifth root of
. In order to do so, we need to factorise
Let's factorise 486 first:
486 = 2 * 243 = 2 * 
Ah, we see that
can be taken out and becomes 3 outside of the 5th root since the 5th root of
Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.
We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.
Our final answer is thus:
.
<em>~ an aesthetics lover</em>