## Simplifying (4y)^2 without Parentheses

The expression (4y)^2 represents the square of the entire term 4y. To simplify this expression without parentheses, we need to understand the concept of exponents and how they apply to multiplication.

### Understanding Exponents

An exponent indicates how many times a base number is multiplied by itself. For example, in the expression 4², the base is 4, and the exponent is 2. This means we multiply 4 by itself twice: 4² = 4 * 4 = 16.

### Applying Exponents to Multiplication

When an exponent is applied to a product of terms, like (4y)², it means we are squaring the entire product. This can be rewritten as:

(4y)² = (4y) * (4y)

### Expanding and Simplifying

Now we can use the distributive property of multiplication to expand the expression:

(4y) * (4y) = 4 * 4 * y * y

Finally, we can simplify the expression by combining like terms:

4 * 4 * y * y = **16y²**

### Conclusion

Therefore, (4y)² without parentheses is equivalent to **16y²**. This is achieved by applying the exponent to the entire product, expanding the expression, and then simplifying by combining like terms.