Question

Can anyone help me with this? I don't get how to do it. Question is below

Answer 1

these are the possible answers, how do I work it out?

Answer 2

@mathmate

Answer 3

Law of exponents:
\(b^x\times b^y=b^{x+y}\)
Example:
\(5^{1/7}+5^{3/7}=5^{1/7+4/7}=5^{5/7}\)

Radicals mean use the sqrt sign, cube root signs, etc.
Again, law of exponents:
\(b^{y/x}=\sqrt[x]{b^y}\)
Example:
\(8^{2/3}=\sqrt[3]{8^2}\)