%5E2.jpeg "(2v)^2")
Simplifying (2v)^2
In mathematics, simplifying expressions is a crucial skill. One common expression that often appears is (2v)^2. Let's break down how to simplify this expression:
Understanding the Concept
The expression (2v)^2 represents the square of the entire term 2v. This means we are multiplying 2v by itself.
Simplifying the Expression
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Apply the exponent: The exponent 2 indicates that we multiply the base, 2v, by itself. This gives us: (2v) * (2v)
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Expand the multiplication: Multiply each term within the parentheses: (2 * 2) * (v * v)
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Simplify: Perform the multiplication: 4v²
Conclusion
Therefore, the simplified form of (2v)^2 is 4v². This process demonstrates the importance of understanding the order of operations and how exponents work when dealing with algebraic expressions.