%5E2-without-parentheses.jpeg "(4y)^2 Without Parentheses")
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.