Question

Please help me with this problem so I can better help my son understand. I have attached an image of what were working on. Multiply.−3/10xy(60xy^6)

Answer 1

$-\frac{3}{10}xy(60xy^6)=$

Combining similar terms:

$\begin{gathered} =(-\frac{3}{10}\cdot60)(x\cdot x)(y\cdot y^6)= \\ =-18(x\cdot x)(y\cdot y^6)= \end{gathered}$

Applying the product rule of exponents:

$\begin{gathered} =-18(x^{1+1})(y^{1+6})= \\ =-18x^2y^7 \end{gathered}$