Curry Cox
04/06/2023 · Primary School
14. Halla el valor de: \( \left(\frac{4}{9}\right)^{3} \times \frac{3^{8}}{2^{5}} \) \( \begin{array}{lllll}\text { A) } 9 & \text { B) } 16 & \text { C) } 18 & \text { D) } 12 & \text { E) } 24\end{array} \)
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Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (4/9)^3 * 3^8 / 2^5 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(\frac{4}{9}\right)^{3}\times 3^{8}}{2^{5}}\)
- step1: Multiply the numbers:
\(\frac{576}{2^{5}}\)
- step2: Rewrite the expression:
\(\frac{64\times 9}{2^{5}}\)
- step3: Rewrite the expression:
\(\frac{2^{6}\times 9}{2^{5}}\)
- step4: Reduce the fraction:
\(2\times 9\)
- step5: Calculate:
\(18\)
El valor de \( \left(\frac{4}{9}\right)^{3} \times \frac{3^{8}}{2^{5}} \) es 18. Por lo tanto, la respuesta correcta es la opción C) 18.
Quick Answer
El valor de \( \left(\frac{4}{9}\right)^{3} \times \frac{3^{8}}{2^{5}} \) es 18.
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