Use radical notation to write the expression. Simplify if possible. \( (-8)^{\frac{1}{3}} \) Select the correct choice below and fill in any answer boxes in your choice. A. \( (-8)^{\frac{1}{3}}=\square \) Points: 0 of 1 (Simplify your answer. Type an exact answer, using radicals as needed.) B. The answer is not a real number.
Upstudy AI Solution
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Bonus Knowledge
A. \( (-8)^{\frac{1}{3}}= -2 \) To simplify, we recognize that raising -8 to the power of \( \frac{1}{3} \) means we're finding the cube root of -8. Since -2 multiplied by itself three times gives -8, the simplest form of this expression is indeed -2. Feeling a little adventurous with cube roots? They can be a lot of fun. Unlike square roots, which must be non-negative when dealing with real numbers, cube roots open the door for negative numbers to play along. So when you see \( (-8)^{\frac{1}{3}} \), you're tapping into that cube-root magic!