Pregunta
8. \( \frac{4^{3}-4^{2}}{2^{2}}= \)
Ask by Santiago Frank. in China
Mar 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The value is 12.
Solución
Calculate or simplify the expression \( (4^3-4^2)/2^2 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(4^{3}-4^{2}\right)}{2^{2}}\)
- step1: Remove the parentheses:
\(\frac{4^{3}-4^{2}}{2^{2}}\)
- step2: Subtract the numbers:
\(\frac{48}{2^{2}}\)
- step3: Rewrite the expression:
\(\frac{16\times 3}{2^{2}}\)
- step4: Rewrite the expression:
\(\frac{2^{4}\times 3}{2^{2}}\)
- step5: Reduce the fraction:
\(2^{2}\times 3\)
- step6: Calculate:
\(12\)
The value of \( \frac{4^{3}-4^{2}}{2^{2}} \) is 12.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To solve \( \frac{4^{3}-4^{2}}{2^{2}} \), we start by calculating the powers: \( 4^3 = 64 \) and \( 4^2 = 16 \). Now, substituting those values in, we get \( 64 - 16 = 48 \). Next, we calculate \( 2^2 = 4 \). Now we can compute the fraction: \( \frac{48}{4} = 12 \). So, \( \frac{4^{3}-4^{2}}{2^{2}} = 12 \).

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