%5E3-simplified.jpeg "(2/3)^3 Simplified")
Simplifying (2/3)^3
In this article, we will discuss how to simplify the expression (2/3)^3.
What is the meaning of (2/3)^3?
Before we dive into simplifying the expression, let's understand what it means. (2/3)^3 is an exponential expression where the base is the fraction 2/3 and the exponent is 3. This means we need to raise the fraction 2/3 to the power of 3.
Simplifying the Expression
To simplify the expression (2/3)^3, we can follow the order of operations (PEMDAS):
- Raise the fraction
2/3to the power of 3:
(2/3)^3 = (2/3) × (2/3) × (2/3)
- Multiply the fractions:
= (2 × 2 × 2) / (3 × 3 × 3)
- Simplify the numerator and denominator:
= 8 / 27
Simplified Expression
Therefore, the simplified expression for (2/3)^3 is:
(2/3)^3 = 8/27
In conclusion, simplifying the expression (2/3)^3 involves raising the fraction 2/3 to the power of 3 and then simplifying the resulting fraction. The final answer is 8/27.
