%5E2-without-exponents.jpeg "(4y)^2 Without Exponents")
Understanding (4y)^2 without Exponents
The expression (4y)^2 represents the square of the product of 4 and y. Let's break it down:
- (4y): This signifies the multiplication of 4 and y.
- ^2: This denotes squaring, which means multiplying the base by itself.
Therefore, (4y)^2 can be written without exponents as:
** (4y) * (4y) **
Expanding this:
- 4 * 4 * y * y = 16y^2
In essence, (4y)^2 is equivalent to 16 multiplied by y squared.
Key Points
- Squaring a product: When squaring a product, we square each factor individually.
- Understanding the power: The exponent "2" indicates that we multiply the base (4y) by itself twice.
- Simplifying the expression: By expanding the product, we arrive at a simplified form without exponents.
By understanding these concepts, we can easily manipulate and work with expressions like (4y)^2, even without using exponents.