Question

Simplify. Express your answer using positive exponents. (6w)(7w)

Answer 1

In order to simplify this expression, we can use the following property:

`a^b\cdot a^c=a^(b+c)`

So we have:

`\begin{gathered} (6w)\cdot(7w) \\ =6\cdot7\cdot w^1\cdot w^1 \\ =42\cdot w^1\cdot w^1 \\ =42\cdot w^(1+1) \\ =42w^2 \end{gathered}`