Answer:
[tex]243[/tex]
Step-by-step explanation:
Given:
[tex]27 ^{\frac{2}{3}} \div 27^{\frac{1}{3}} \times 27^{\frac{4}{3}}\\[/tex]
Recall:
[tex]a^{\frac{m}{n}} = (\sqrt[n]{a})^m[/tex]
[tex]a^{\frac{1}{n}} = \sqrt[n]{a}[/tex]
Solution:
[tex]27 ^{\frac{2}{3}} \div 27^{\frac{1}{3}} \times 27^{\frac{4}{3}}\\ (\sqrt[3]{27})^2 \div \sqrt[3]{27} \times (\sqrt[3]{27})^4 \\ 3^2 \div 3 \times 3^4 \\ 9 \div 3 \times 81 \\ 3 \times 81 \\ 243[/tex]
