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(2x^2)^3 Answer

less than a minute read Jun 16, 2024
(2x^2)^3 Answer

Simplifying (2x^2)^3

The expression (2x^2)^3 represents a power of a product. To simplify this, we will use the following rules of exponents:

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

Let's break down the simplification step by step:

  1. Apply the power of a product rule: (2x^2)^3 = 2^3 * (x^2)^3

  2. Apply the power of a power rule: 2^3 * (x^2)^3 = 2^3 * x^(2*3)

  3. Simplify: 2^3 * x^(2*3) = 8x^6

Therefore, the simplified form of (2x^2)^3 is 8x^6.

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