SOLUTION: what is the simplest form of (k^2l^4m^2)(kl^2m^3) a. k^3l^6m^5 b. k^1l^2m^1 c. k^0l^2m^5 d. k^2l^8m^6

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: what is the simplest form of (k^2l^4m^2)(kl^2m^3) a. k^3l^6m^5 b. k^1l^2m^1 c. k^0l^2m^5 d. k^2l^8m^6      Log On


   

Question 86547: what is the simplest form of (k^2l^4m^2)(kl^2m^3)
a. k^3l^6m^5
b. k^1l^2m^1
c. k^0l^2m^5
d. k^2l^8m^6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression

%28k%5E2l%5E4m%5E2%29%28kl%5E2m%5E3%29

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


k%5E%282%2B1%29l%5E%284%2B2%29m%5E%282%2B3%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)

k%5E3l%5E6m%5E5

So the expression

%28k%5E2l%5E4m%5E2%29%28kl%5E2m%5E3%29

simplifies to

k%5E3l%5E6m%5E5

So the answer is a)