SOLUTION: HOw would you solve this problem and please show the steps? {{{2x^3y^5/5(x^4y^2)^3)}}}

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Question 23477: HOw would you solve this problem and please show the steps?
2x%5E3y%5E5%2F5%28x%5E4y%5E2%29%5E3%29
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First of all congratulations on writing the equation box for this particular problem!!
2x%5E3y%5E5%2F5%28x%5E4y%5E2%29%5E3%29

Next, remove parentheses in the denominator. Remember that when you raise a power to a power you multiply exponents!!

2x%5E3y%5E5%2F5%28x%5E12y%5E6%29

Next, you can divide out the x%5E3 in the numerator with x%5E12 in the denominator, leaving x%5E9 in the denominator (subtract exponents!!). You can divide out the y%5E5 in the numerator with the y%5E6 in the denominator, leaving a y%5E1 in the denominator. The 2 stays in the numerator, and the 5 stays in the denominator.

The final result is: 2%2F5%28x%5E9y%29

R^2 at SCC