Question
1. What is \( 2^{\frac{1}{3}} \) Explain. Enter your answer.
Ask by Guerrero Christensen. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 2^{\frac{1}{3}} \) is approximately 1.259921.
Solution
Calculate or simplify the expression \( 2^{1/3} \).
Calculate the value by following steps:
- step0: Calculate:
\(2^{\frac{1}{3}}\)
- step1: Transform the expression:
\(\sqrt[3]{2}\)
The value of \(2^{\frac{1}{3}}\) is approximately 1.259921.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
\( 2^{\frac{1}{3}} \) is the cube root of 2, which means it is the number that, when multiplied by itself three times, equals 2. In decimal form, it is approximately equal to 1.2599. This value lies between 1 and 2, as \( 1^3 = 1 \) and \( 2^3 = 8 \). You can visualize it by thinking of the volume of a cube. If you have a cube with a volume of 2 cubic units, each side of this cube must be \( 2^{\frac{1}{3}} \) units long for the volume to hold true. It’s a handy number to know when dealing with roots and powers in both math and real-world scenarios!
