Simplify the Expression: Finding (y×3)² Step by Step

The power of a product rule says when you raise a product to a power, you must raise each factor to that power. Since $(y \times 3)^2$ means the entire product is squared, both y and 3 get the exponent 2.

In $y^2 \times 3$, only y is squared while 3 stays as is. In $y^2 \times 3^2$, both y and 3 are squared. The second one is correct for $(y \times 3)^2$!

You could write $(y \times 3)^2 = (3y)^2 = 9y^2$, but it's easier to use the power rule directly. Both methods give the same result: $y^2 \times 3^2 = 9y^2$.

The same rule applies! For example, $(abc)^2 = a^2b^2c^2$. Every single factor inside the parentheses gets raised to the power outside.

It depends on what form is requested. $y^2 \times 3^2$ shows the power rule clearly, but you can also simplify it to $9y^2$ since $3^2 = 9$.