## TeemoTheTerific 2 years ago Hi! Can i please get some help please? Thanks!!

1. TeemoTheTerific

$\huge6^{\frac{ 1 }{ 2 }} \times 2^{2} \times 3 ^{\frac{ 1 }{ 2 }}$

2. Kuoministers

make same base

3. TeemoTheTerific

umm i dont know how

4. TeemoTheTerific

5. TeemoTheTerific

6. Directrix

@TeemoTheTerific What are the instructions for this problem? Is the answer to be left in exponential or radical form?

7. TeemoTheTerific

left in surd form

8. TeemoTheTerific

well answer should be left in a surd form

9. Directrix

10. Directrix

|dw:1359525117482:dw|

11. Directrix

Can you pick it up from here by remembering that to multiply exponential expressions with the same base, you add their exponents.

12. TeemoTheTerific

$3 \times 2 ^{\dfrac{ 5 }{ 2 }}$

13. Directrix

|dw:1359525370984:dw| Okay.

14. TeemoTheTerific

ahh i got it now thanks

15. paul2d

or, $\sqrt{6}\times4\times \sqrt{3}=4\sqrt{18}=4\sqrt{9\times2}=12\sqrt{2}$

16. paul2d

I find it easier to switch the rational exponents to radicals

17. Directrix

@paul2d I tend to agree but as you study more mathematics, you will encounter situations in which only exonential form will suffice or be allowed.