Raising to a Power: 1/2 Pangkat 2/3
Introduction
Raising a fraction to a power can be a bit tricky, but it's an important concept in mathematics. In this article, we'll explore what it means to raise the fraction 1/2 to the power of 2/3.
What does it mean to raise to a power?
Before we dive into the calculation, let's quickly review what it means to raise a number to a power. When we raise a number to a power, we are essentially multiplying it by itself as many times as the power indicates. For example, 2^3 means 2 multiplied by itself 3 times, or 2 × 2 × 2.
Calculating 1/2 pangkat 2/3
Now, let's calculate 1/2 raised to the power of 2/3.
(1/2)^(2/3) = ?
To calculate this, we need to follow the rule of indices, which states that when we raise a fraction to a power, we raise both the numerator and the denominator to that power separately.
(1/2)^(2/3) = (1^(2/3)) / (2^(2/3))
= 1 / (2^(2/3))
Now, let's calculate the value of 2^(2/3). To do this, we can use a calculator or convert the fraction to a decimal first. The decimal equivalent of 2/3 is approximately 0.67.
2^(2/3) ≈ 2^0.67 ≈ 1.62
So, we have:
(1/2)^(2/3) ≈ 1 / 1.62
≈ 0.62
Therefore, (1/2)^(2/3) ≈ 0.62.
Conclusion
Raising a fraction to a power can be a bit tricky, but by following the rule of indices, we can calculate the result easily. In this case, we found that (1/2)^(2/3) ≈ 0.62. This concept is important in many mathematical and real-world applications, and understanding how to calculate it is crucial for success in mathematics and beyond.
