Pregunta
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The result is \( \frac{1}{64} \) or \( 0.015625 \).
Solución
Calculate or simplify the expression \( 0.5^{3} \div 2^{3} \).
Calculate the value by following steps:
- step0: Calculate:
\(0.5^{3}\div 2^{3}\)
- step1: Convert the expressions:
\(\left(\frac{1}{2}\right)^{3}\div 2^{3}\)
- step2: Simplify:
\(\left(\frac{1}{2}\div 2\right)^{3}\)
- step3: Simplify:
\(\left(\frac{1}{4}\right)^{3}\)
- step4: Evaluate the power:
\(\frac{1^{3}}{4^{3}}\)
- step5: Evaluate the power:
\(\frac{1}{4^{3}}\)
- step6: Evaluate the power:
\(\frac{1}{64}\)
The result of \(0.5^{3} \div 2^{3}\) is \(\frac{1}{64}\) or \(0.015625\).
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Bonus Knowledge
To simplify \( 0.5^{3} \div 2^{3} \), first recognize that \( 0.5 \) can be rewritten as \( \frac{1}{2} \). Therefore, \( 0.5^{3} \) becomes \( \left( \frac{1}{2} \right)^{3} = \frac{1^3}{2^3} = \frac{1}{8} \). Now, dividing by \( 2^{3} \) means you're dividing \( \frac{1}{8} \) by \( 8 \) (since \( 2^3 = 8 \)). So, \( \frac{1}{8} \div 8 = \frac{1}{8} \times \frac{1}{8} = \frac{1}{64} \). The final result is \( \frac{1}{64} \).
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