(2v^4)^3

2 min read Jun 16, 2024
(2v^4)^3

Simplifying (2v^4)^3

In mathematics, simplifying expressions is a fundamental skill. This article will guide you through the process of simplifying the expression (2v^4)^3.

Understanding the Rules

The key to simplifying this expression lies in understanding the rules of exponents:

  • Power of a product: (ab)^n = a^n * b^n
  • Power of a power: (a^m)^n = a^(m*n)

Applying the Rules

  1. Distribute the exponent: We start by applying the power of a product rule: (2v^4)^3 = 2^3 * (v^4)^3

  2. Simplify the powers: Next, we apply the power of a power rule: 2^3 * (v^4)^3 = 8 * v^(4*3)

  3. Final simplification: 8 * v^(4*3) = 8v^12

Conclusion

Therefore, the simplified form of (2v^4)^3 is 8v^12. By understanding and applying the rules of exponents, you can confidently simplify complex expressions like this one.

Related Post


Featured Posts