SOLUTION: Explain and show the steps in how to add,subtract and multiply the following: (-9p^3 · q^2)(-3p^2 · q^4)

Algebra ->  Equations -> SOLUTION: Explain and show the steps in how to add,subtract and multiply the following: (-9p^3 · q^2)(-3p^2 · q^4)       Log On


   

Question 22051: Explain and show the steps in how to add,subtract and multiply the following:
(-9p^3 · q^2)(-3p^2 · q^4)
Answer by philberg99(10) About Me  (Show Source):
You can put this solution on YOUR website!
%28-9p%5E3%2Aq%5E2%29%2A%28-3p%5E2%2Aq%5E4%29+
First of all, let's just look at the numbers. -9 · -3 = 27. So now our problem is down to this:
27%28p%5E3%2Aq%5E2%29%2A%28p%5E2%2Aq%5E4%29+
And now, when you multiply terms with the same base, you add their exponents. So notice that we have two bases, p and q. If we gather the terms together, we have
27%28p%5E3%2Ap%5E2%29%2A%28q%5E2%2Aq%5E4%29+
So if we add exponents, we get
27p%5E5%2Aq%5E6
Hope that helps