(2v)^2 • 2v^2

less than a minute read Jun 16, 2024
(2v)^2 • 2v^2

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.

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