To find the value of 27 raised to the power of 1/3, we’re looking for the cube root of 27. The cube root of a number is the value that, when multiplied by itself twice (three times total), gives the original number. Let’s break down the steps:
- Identify the number: We are working with the number 27.
- Understand the meaning of the exponent: The exponent 1/3 indicates that we need to find the cube root.
- Find the cube root: Think of what number, when cubed (multiplied by itself twice), equals 27. The number 3 works because 3 x 3 x 3 = 27.
- Conclusion: Therefore, 27 to the power of 1/3 is equal to 3.
In summary, the value of 27 to the power of 1/3 is 3, as this is the cube root of 27.