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

Answer 1

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

Answer 2

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?

Answer 3

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

Answer 4

i think so, thanks!

Answer 5

\( \color{Black}{\Rightarrow \Large x ^{{5 \over 12} + {2 \over 12}}}\)

Can you simplify this?

Answer 6

yes?

Answer 7

Okay.