Question
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Answer
\( \left(\frac{5}{6}\right)^{3} = \frac{125}{216} \)
Solution
Calculate or simplify the expression \( (5/6)^3 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{5}{6}\right)^{3}\)
- step1: Use the properties of exponents:
\(\frac{5^{3}}{6^{3}}\)
- step2: Evaluate the power:
\(\frac{125}{6^{3}}\)
- step3: Evaluate the power:
\(\frac{125}{216}\)
The simplified form of \( \left(\frac{5}{6}\right)^{3} \) is \( \frac{125}{216} \) or approximately \( 0.578703 \).
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Simplify this solution The Deep Dive
To simplify \( \left(\frac{5}{6}\right)^{3} \), you raise both the numerator and the denominator to the power of 3. So, we have: \[ \left(\frac{5}{6}\right)^{3} = \frac{5^3}{6^3} = \frac{125}{216} \] Therefore, the simplified form of \( \left(\frac{5}{6}\right)^{3} \) is \( \frac{125}{216} \).
