%5E2.jpeg "(-3xy^3)^2")
Simplifying (-3xy^3)^2
In mathematics, simplifying expressions is a crucial skill. Let's explore how to simplify the expression (-3xy^3)^2.
Understanding the Concept
The expression (-3xy^3)^2 represents the product of (-3xy^3) with itself.
Applying the Power of a Product Rule
The power of a product rule states that the power of a product is equal to the product of the powers of each factor. We can write this rule as:
(ab)^n = a^n * b^n
Applying this rule to our expression, we get:
(-3xy^3)^2 = (-3)^2 * x^2 * (y^3)^2
Simplifying Further
Now, we can simplify each term:
- (-3)^2 = 9
- x^2 = x^2
- (y^3)^2 = y^(3*2) = y^6
Final Result
Combining these simplified terms, we arrive at the final simplified expression:
(-3xy^3)^2 = 9x^2y^6
Therefore, the simplified form of (-3xy^3)^2 is 9x^2y^6.