+0

# an equation that needs to be simplified but it has waaaaay too many variables for me

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i only need it simplified so r and t are only written once

$${(\frac{{r}^{3m}}{{r}^{-m}{t}^{4n}})}^{\frac{1}{n}} \times {(\frac{{r}^{\frac{1}{n}}}{{t}^{\frac{2}{m}}})}^{-m}$$

if you want to know, this insanity looks like this with no latex.

{(\frac{{r}^{3m}}{{r}^{-m}{t}^{4n}})}^{\frac{1}{n}} \times {(\frac{{r}^{\frac{1}{n}}}{{t}^{\frac{2}{m}}})}^{-m}

because thats definitely easy to type.

Jun 26, 2018

#1
+106536
+2

Let's take this by stages

r3m                        r 4m                                                        r  4m/n

______   =   _______        raising all this to 1/n  =      ______

r-m * t4n           t 4n                                                                       4

And

1/n                                                  (   t 2/m )m                  t 2

_____  raised to the  -m    =    _______   =        ______

t  2/m                                               (    r 1/n ) m               r m/n

So....putting all this together, we have

r 4m/n   *  t2                 r 3m/n

_________     =    ________

t4  *   r m/n                    t 2

Jun 26, 2018