Which is equivalent to 243 2/5 ? 3 6 9 12

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Question:

Which is equivalent to 243 2/5 ? 3 6 9 12

Answers

9 Good luckkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:The answer is [tex]9[/tex]Step-by-step explanation:we have[tex](243)^{\frac{2}{5}}[/tex]we know that[tex]a^{\frac{n}{m}}=\sqrt[m]{a^{n}}[/tex]so[tex](243)^{\frac{2}{5}}=\sqrt[5]{243^{2}}[/tex]Remember that[tex]243=3^{5}[/tex]Substitute[tex]\sqrt[5]{243^{2}}=\sqrt[5]{(3^{5})^{2}}\\ \\= \sqrt[5]{(3^{10})}\\ \\=3^{\frac{10}{5}}\\ \\= 3^{2} \\ \\=9[/tex]

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