(3y)^2 Without Exponents

Jasonbradley

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Jun 16, 2024

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Understanding (3y)^2 Without Exponents

The expression (3y)^2 represents the square of the entire quantity (3y). This means we are multiplying (3y) by itself.

Here's how we can expand it without using exponents:

(3y)^2 = (3y) * (3y)

To simplify, we can use the distributive property:

(3y) * (3y) = 3y * 3y

Now, we multiply the coefficients and the variables separately:

3y * 3y = 9y^2

Therefore, (3y)^2 is equivalent to 9y^2 without using exponents.

Key Points:

• The square of a quantity means multiplying it by itself.
• When dealing with variables, we multiply the coefficients and add the exponents of the variables.

In conclusion, by expanding the expression and using the distributive property, we can successfully rewrite (3y)^2 as 9y^2 without employing exponents.