(3n^2m^7)^3

Jasonbradley

less than a minute read

·

Jun 16, 2024

11

Share

Simplifying the Expression (3n²m⁷)³

In mathematics, simplifying expressions often involves applying various rules and properties. Let's break down the process of simplifying the expression (3n²m⁷)³.

Understanding the Properties

• Exponents: When raising a power to another power, we multiply the exponents. This means (a^m)^n = a^(m*n).
• Product of Powers: When multiplying powers with the same base, we add the exponents. This means (a^m)*(a^n) = a^(m+n).

Simplifying the Expression

1. Apply the Power of a Power Rule: (3n²m⁷)³ = 3³ * (n²)³ * (m⁷)³

2. Simplify each term:

   • 3³ = 27
   • (n²)³ = n⁶
   • (m⁷)³ = m²¹

3. Combine the terms: 27 * n⁶ * m²¹ = 27n⁶m²¹

Final Result

Therefore, the simplified form of (3n²m⁷)³ is 27n⁶m²¹.