Question

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

Answer 1

9 Good luckkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer 2

Answer:

The answer is $9$

Step-by-step explanation:

we have

$(243)^{\frac{2}{5}}$

we know that

$a^{\frac{n}{m}}=\sqrt[m]{a^{n}}$

so

$(243)^{\frac{2}{5}}=\sqrt[5]{243^{2}}$

Remember that

$243=3^{5}$

Substitute

$\sqrt[5]{243^{2}}=\sqrt[5]{(3^{5})^{2}}\\ \\= \sqrt[5]{(3^{10})}\\ \\=3^{\frac{10}{5}}\\ \\= 3^{2} \\ \\=9$