%5E2.jpeg "(7xy)^2")
Simplifying (7xy)^2
In mathematics, simplifying expressions is a key skill. Let's explore how to simplify the expression (7xy)^2.
Understanding Exponents
An exponent indicates how many times a base number is multiplied by itself. In this case, (7xy)^2 means we multiply the base (7xy) by itself two times:
(7xy)^2 = (7xy) * (7xy)
Applying the Distributive Property
We can distribute the exponent to each factor within the parentheses:
(7xy)^2 = 7^2 * x^2 * y^2
Simplifying the Expression
Now, we calculate the square of each factor:
7^2 = 49 x^2 = x * x y^2 = y * y
Therefore, the simplified expression is:
(7xy)^2 = 49x^2y^2
Key Takeaway
Simplifying expressions like (7xy)^2 involves understanding the meaning of exponents and applying the distributive property. By breaking down the expression and performing the calculations, we arrive at the simplified form: 49x^2y^2.