Question

I thought this answer was the sixth root, cubed, value of 16. But I am not sure so I need help with the question

Answer 1

In order to find the correct options, we need to know the following property:

`a^{(b)/(c)}=\sqrt[c]{a^b}`

So, rewriting the expression 243^(3/5), we have:

`243^{(3)/(5)}=\sqrt[5]{243^3}`

That is, 243^(3/5) is the 5th root of 243 cubed. Its value is:

`\sqrt[5]{243^3}=\sqrt[5]{14348907}=27`