Question

use the associative property of multiplication to rewrite the expression:
(x x 3y) x 7 = _

Answer 1

To use the associative property of multiplication, we can group the factors in different ways without changing the product. The associative property states that \((a \times b) \times c = a \times (b \times c)\).

Starting with your expression:

\[
(x \times 3y) \times 7
\]

We can regroup the multiplication as follows:

\[
x \times (3y \times 7)
\]

Now we can also simplify \(3y \times 7\):

\[
3y \times 7 = 21y
\]

So, we can finally rewrite the original expression as:

\[
x \times 21y
\]

Thus, the rewritten expression is:

\[
x \times (3y \times 7) = x \times 21y
\]