Simplifying the Expression: (2v)^2 • 2v^2
This expression involves both exponents and multiplication. Here's how to simplify it step by step:
1. Simplify the First Term: (2v)^2
- Exponent Rule: (ab)^n = a^n * b^n
- Applying the Rule: (2v)^2 = 2^2 * v^2 = 4v^2
2. Simplify the Entire Expression
- Now we have: 4v^2 • 2v^2
- Multiplication of Variables: a^m * a^n = a^(m+n)
- Applying the Rule: 4v^2 • 2v^2 = (4 * 2) * (v^2 * v^2) = 8v^4
Final Result
Therefore, the simplified expression is 8v^4.