Explain, in complete sentences, how you would multiply the following expression, write the simplified answer in radical form

12th root√x^5 * sixth root√x

Question

Explain, in complete sentences, how you would multiply the following expression, write the simplified answer in radical form

12th root√x^5 * sixth root√x

parthkohli · Answer

This one is easy. Do you know how $\Large \sqrt[a]{b^{c}} = b^{c \over a}$?

parthkohli · Answer

I mean you must be familiar with this property. Now convert them to exponents.

$ \color{Black}{\Rightarrow \Large x^{5 \over 12} \cdot x^{1 \over 6}}$

Do you get it till now?

parthkohli · Answer

When the bases are same, you add the exponents. Get it now?

anonymous · Answer

i think so, thanks!

parthkohli · Answer

$ \color{Black}{\Rightarrow \Large x ^{{5 \over 12} + {2 \over 12}}}$

Can you simplify this?

anonymous · Answer

yes?

parthkohli · Answer

Okay.