Which is equivalent to 243 2/5 ? 3 6 9 12
2 answers:
Answer:
The answer is 
Step-by-step explanation:
we have

we know that
![a^{\frac{n}{m}}=\sqrt[m]{a^{n}}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D%3D%5Csqrt%5Bm%5D%7Ba%5E%7Bn%7D%7D)
so
![(243)^{\frac{2}{5}}=\sqrt[5]{243^{2}}](https://tex.z-dn.net/?f=%28243%29%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D%3D%5Csqrt%5B5%5D%7B243%5E%7B2%7D%7D)
Remember that

Substitute
![\sqrt[5]{243^{2}}=\sqrt[5]{(3^{5})^{2}}\\ \\= \sqrt[5]{(3^{10})}\\ \\=3^{\frac{10}{5}}\\ \\= 3^{2} \\ \\=9](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B243%5E%7B2%7D%7D%3D%5Csqrt%5B5%5D%7B%283%5E%7B5%7D%29%5E%7B2%7D%7D%5C%5C%20%5C%5C%3D%20%5Csqrt%5B5%5D%7B%283%5E%7B10%7D%29%7D%5C%5C%20%5C%5C%3D3%5E%7B%5Cfrac%7B10%7D%7B5%7D%7D%5C%5C%20%5C%5C%3D%203%5E%7B2%7D%20%5C%5C%20%5C%5C%3D9)
9 Good luckkkkkkkkkkkkkkkkkkkkkkkkkkkkk
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I think it’s C
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