Reese Tucker
06/06/2024 · Primary School
1) \( A=\frac{x^{9}}{\left(x^{3}\right)^{4}}, \quad x=\frac{2}{3} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Substitute \( x=\frac{2}{3} \) into the expression \( \frac{x^{9}}{\left(x^{3}\right)^{4}} \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(\frac{x^{9}}{\left(x^{3}\right)^{4}}\)
- step1: Substitute:
\(\frac{\left(\frac{2}{3}\right)^{9}}{\left(\left(\frac{2}{3}\right)^{3}\right)^{4}}\)
- step2: Calculate:
\(\frac{\left(\frac{2}{3}\right)^{9}}{\left(\frac{2^{3}}{3^{3}}\right)^{4}}\)
- step3: Simplify the expression:
\(\frac{\frac{2^{9}}{3^{9}}}{\left(\frac{2^{3}}{3^{3}}\right)^{4}}\)
- step4: Simplify the expression:
\(\frac{\frac{2^{9}}{3^{9}}}{\frac{2^{12}}{3^{12}}}\)
- step5: Rewrite the expression:
\(\frac{512\times 3^{12}}{80621568}\)
- step6: Reduce the fraction:
\(\frac{3^{12}}{157464}\)
- step7: Reduce the fraction:
\(\frac{27}{8}\)
Подставив \( x=\frac{2}{3} \) в выражение \( \frac{x^{9}}{\left(x^{3}\right)^{4}} \), получаем результат \( \frac{27}{8} \) или \( 3\frac{3}{8} \) или \( 3.375 \).
Quick Answer
Подставив \( x=\frac{2}{3} \) в выражение \( \frac{x^{9}}{\left(x^{3}\right)^{4}} \), получаем \( \frac{27}{8} \) или \( 3\frac{3}{8} \) или \( 3.375 \).
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