Simplifying (2a)^2
The expression (2a)^2 is a simple example of exponents in algebra. Let's break down how to simplify it:
Understanding the Problem
- (2a)^2: This means we are squaring the entire term "2a". In other words, we're multiplying "2a" by itself.
Applying the Exponent Rule
- (2a)^2 = (2a) * (2a)
Solving the Multiplication
- (2a) * (2a) = 2 * a * 2 * a
- = 2 * 2 * a * a
- = 4 * a^2
Final Answer
Therefore, (2a)^2 simplifies to 4a^2.
Key Points
- Remember that the exponent applies to everything inside the parentheses.
- When multiplying variables, we add their exponents. In this case, a * a = a^2.
- Always simplify your answer as much as possible.