Pregunta
Simplify each expression. 22. \( 8^{\frac{1}{3}} \)
Ask by Reeves Weaver. in the United States
Mar 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( 8^{\frac{1}{3}} = 2 \)
Solución
Calculate or simplify the expression \( 8^{\frac{1}{3}} \).
Calculate the value by following steps:
- step0: Calculate:
\(8^{\frac{1}{3}}\)
- step1: Factor the number:
\(\left(2^{3}\right)^{\frac{1}{3}}\)
- step2: Evaluate the power:
\(2\)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Extra Insights
The expression \( 8^{\frac{1}{3}} \) represents the cube root of 8. Since 2 multiplied by itself three times equals 8 (because \( 2 \times 2 \times 2 = 8 \)), the cube root of 8 is 2. Therefore, \( 8^{\frac{1}{3}} = 2 \). Now, for some mathematical fun: Did you know that cube roots can also be visualized? Imagine a cube made of 8 smaller cubes (1 unit on each side). If you wanted to find the length of one side of that larger cube, you'd simply count the smaller cubes along any edge—which gives you that magical number 2!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium