Question

Need help.... medal if correct?

Answer 1

\[5^{2/5} \times 5^{2/5}\]

Answer 2

Rule:
\[\Huge a^{\color{red}{b}}*a^{\color{blue}{c}} = a^{{\color{red}{b}}+{\color{blue}{c}}}\]


Example:

\[\Huge 2^{\color{red}{3}}*2^{\color{blue}{5}} = 2^{{\color{red}{3}}+{\color{blue}{5}}}\]
In this example,
a = 2
b = 3
c = 5

Answer 3

Would it be 5 ^ 4/5?

Answer 4

yes,

\[\Huge 5^{\color{red}{2/5}}*5^{\color{blue}{2/5}} = 5^{{\color{red}{2/5}}+{\color{blue}{2/5}}}\]

\[\Huge 5^{\color{red}{2/5}}*5^{\color{blue}{2/5}} = 5^{4/5}\]

Answer 5

Thank you so much! I wasn't sure if the base would stay the same.

Answer 6

you're welcome