Question
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Answer
\( \left(\frac{1}{8}\right)^{\frac{1}{3}} = 0.5 \)
Solution
Calculate or simplify the expression \( (1/8)^{1/3} \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{1}{8}\right)^{\frac{1}{3}}\)
- step1: Use the properties of exponents:
\(\frac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}\)
- step2: Evaluate the power:
\(\frac{1}{8^{\frac{1}{3}}}\)
- step3: Evaluate the power:
\(\frac{1}{2}\)
A \( \left(\frac{1}{8}\right)^{\frac{1}{3}} \) é igual a 0.5.
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Simplify this solution Extra Insights
Did you know that \( \left(\frac{1}{8}\right)^{\frac{1}{3}} \) is the same as finding the cube root of \(\frac{1}{8}\)? Since \(8\) can be expressed as \(2^3\), this simplifies to \( \left(\frac{1}{2^3}\right)^{\frac{1}{3}} = \frac{1}{2} \). So, you’re left with a delightful \(\frac{1}{2}\)! For a more playful perspective, think of it as slicing a pie! If you have an eighth of a pie, and you're sharing that piece with two friends (three people total), each of you will get \( \frac{1}{2} \) of the original pie. Math can be delicious!
