%5E3-simplified.jpeg "(1/3)^3 Simplified")
Simplifying (1/3)^3
In mathematics, (1/3)^3 represents one-third raised to the power of three. To simplify this expression, we need to understand the concept of exponents.
Understanding Exponents
An exponent indicates how many times a base number is multiplied by itself. In this case, (1/3)^3 means (1/3) multiplied by itself three times.
Simplifying the Expression
Let's break down the simplification:
- (1/3)^3 = (1/3) * (1/3) * (1/3)
- = (1 * 1 * 1) / (3 * 3 * 3)
- = 1 / 27
Therefore, (1/3)^3 simplified is 1/27.
Key Points
- Exponents indicate repeated multiplication.
- When raising a fraction to a power, we apply the exponent to both the numerator and the denominator.
- Simplifying fractions involves finding the simplest form of the fraction by dividing both numerator and denominator by their greatest common factor (GCD).
By understanding these concepts, we can confidently simplify expressions involving exponents and fractions.