How do you multiply $(3xy^5)(-6x^4y^2)$ ?

Question

4163 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-10-26T20:43:19

Multiplication is fairly simple: all you need to do is multiply the like terms first and multiply your products.

First, let's take the constants (the numbers). The two numbers are $3$ and $-6$ . Be careful and always remember to take the negative sign. Multiplying them, we have:
$(3)*(-6)=-18$
Now, let's take the second pair of like terms: with the variable $x$ .
Multiplying $x$ with $x^4$ , we have:
$(x)*(x^4)=x^5$
Remember, that when the bases are equal, powers can be added up! So, $(x)*(x^4)=(x^1)*(x^4)=x^(1+4)=x^5$
Now, multiplying the third pair: with the variable $y$ .
Multiplying $y^5$ with $y^2$ , we have:
$(y^5)*(y^2)=y^(5+2)=y^7$

Thus, by multiplying all three products, we get:
$(-18)(x^5)(y^7)=-18x^5y^7$

How do you multiply (3xy^5)(-6x^4y^2)(3xy^5)(-6x^4y^2)?