(2/3)^3 Simplified

less than a minute read Jun 16, 2024
(2/3)^3 Simplified

Simplifying (2/3)³

In mathematics, simplifying expressions often involves applying the rules of exponents. Let's break down the simplification of (2/3)³:

Understanding the Exponent

The exponent, in this case, 3, indicates that we need to multiply the base (2/3) by itself three times.

Applying the Rule

The rule of exponents states: (a/b)ⁿ = aⁿ / bⁿ

Therefore: (2/3)³ = 2³ / 3³

Calculating the Result

We can calculate the numerator and denominator:

  • 2³ = 2 * 2 * 2 = 8
  • 3³ = 3 * 3 * 3 = 27

Therefore, (2/3)³ simplifies to 8/27.

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