(x^3*y^3)*(x^4*y^a)=x^7 what is a
Hi hello this is a cool web thanks guys
Using the properties of powers (see the Formulary) and collecting like terms together:
x3*y3*x4*ya = x7y3-a
If this is to equal x7 then the y term must equal 1. Now y0 = 1 so we must have 3-a = 0, or a =3
I believe you made a small mistake Alan. It is 3+a
$$x^3y^3x^4y^a=x^7\\ x^7y^{3+a}=x^7\\ y^{3+a}=1\\ y^{3+a}=y^0\\ 3+a=0\\ a=\: -3\\$$
Oops!