%5E2.jpeg "(3xy^2)^2")
Simplifying (3xy^2)^2
In mathematics, simplifying expressions is an important skill. Let's break down how to simplify the expression (3xy^2)^2.
Understanding the Concept
The expression (3xy^2)^2 represents squaring the entire term 3xy^2. This means multiplying the term by itself.
Applying the Exponent Rule
To simplify, we use the rule of exponents which states that (a^m)^n = a^(m*n).
Applying this rule to our expression:
(3xy^2)^2 = 3^2 * x^2 * (y^2)^2
Simplifying further
Now, we simplify each part:
- 3^2 = 9
- x^2 = x^2
- (y^2)^2 = y^(2*2) = y^4
Final Result
Combining these simplified parts, we get the final result:
(3xy^2)^2 = 9x^2y^4