Question

What does (y^4z^2)(y^3z^2) equal? Explain using the expanded form and the multiplication property of exponents

Answer 1

since its all multiplication the paranthesis mean nothing

Answer 2

\[(y^4z^2)(y^3z^2)=y^4z^2y^3z^2\]

Answer 3

what happens when we expand this all out?

\[y.y.y.y\ z^2y^3z^2\]
\[y.y.y.y\ z.z\ y^3z^2\]
\[y.y.y.y\ z.z\ y.y.y\ z^2\]
\[y.y.y.y\ z.z\ y.y.y\ z.z\]
\[y.y.y.y.y.y.y\ z.z.z.z\]
\[y.y.y.y.y.y.y\ z^4\]
\[y^7\ z^4\]