SOLUTION: what is the simplest form of (2x^3y)(4x^2y^3) a. 8x^6y^3 b. 2xy c. 2x^6y^3 d. 8x^5y^4

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: what is the simplest form of (2x^3y)(4x^2y^3) a. 8x^6y^3 b. 2xy c. 2x^6y^3 d. 8x^5y^4       Log On


   

Question 86546: what is the simplest form of (2x^3y)(4x^2y^3)
a. 8x^6y^3
b. 2xy
c. 2x^6y^3
d. 8x^5y^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression

%282x%5E3y%29%284x%5E2y%5E3%29

When you multiply common bases with exponents, you add the exponents


%282x%5E%283%2B2%29y%5E%281%2B3%29%29%284%29 Add the exponents (note: the variables and exponents of the 2nd parenthesis now equal 1. So we don't need to bother with writing them out)

%282x%5E5y%5E4%29%284%29


%288x%5E5y%5E4%29 Now multiply 2 and 4 to get 8

So the expression

%282x%5E3y%29%284x%5E2y%5E3%29

simplifies to

%288x%5E5y%5E4%29

So the answer is d)