Multiplying Expressions (with powers)

Task goals

• Use the product law for the same base, for example $a^3\times a^4=a^7$ and $2^3\times2^2=2^5$.
• Multiply coefficients separately and then add exponents for matching variables, such as $4a^2\times3a^5=12a^7$.
• Keep different variables separate while simplifying products such as $2x^3y\times5x^2y^4=10x^5y^5$.
• Form and simplify area expressions such as a square with side $3y^4$ or a rectangle with sides $4x^2y$ and $3xy^4$.