SOLUTION: 3x^3(3x^3x^4)^2

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: 3x^3(3x^3x^4)^2      Log On


   

Question 812304: 3x^3(3x^3x^4)^2
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E3%283x%5E3x%5E4%29%5E2
A good first step is to simplify what is inside
the inner parens.
So, consider 3x%5E3x%5E4
Notice that x%5E3x%5E4 = x%5E%283%2B4%29 = x%5E7
Now, 3x%5E3x%5E4 = 3x%5E7
Looking back at 3x%5E3%283x%5E3x%5E4%29%5E2 we have
3x%5E3%283x%5E7%29%5E2
The next step is to apply the ^2
Let's figure out what (3x^7)^2} is.
Apply the ^2 to each item inside the parens and we have
3^2 * (x^7)^2 = 9 * x^14.
Now we know %283x%5E7%29%5E2 = 9+%2A+x%5E14
Now we need to evaluate 3x%5E3%283x%5E7%29%5E2 which is
equivalent to 3x%5E3%2A9x%5E14
3%2A9x%5E3%2Ax%5E14
27x%5E17
Check out the link below.
http://www.wolframalpha.com/input/?i=3x^3%283x^3x^4%29^2