Expressed in simplest form,(3x^3)(2y)^2(4x^4) is equivalent to

Step-by-step explanation:

34

So I wrote down exactly above how the eq. is put in the question, note that the 2y is the only coefficient that is inside of the parenthesis,  I hope that is how the question is asked.  The 3 and 4 coefficient are NOT part of the exponential part.. is my point.. which will make a big difference if they were.  

anyway

344

48    ( b/c the x bases are the same we can just add the exponents)

48

48   ( this is your answer )

side note: an important learning point that was implied above is that you could rewrite the expression as 48... why would you want to write it that way?  b/c often a square is needed to make a problem work out easier.

as in  Cos^2(Ф) + Sin^2(Ф) = 1     but that's another question L :P

(if you're read this far.. good for  you.. if it's the 1st time you've heard of that rule for exponents then ask your teacher / professor if I can have 1/2 of their pay since I am doing their job  :D  )  

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.