%5E3-simplified.jpeg "(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.