Question

Please help me with the following(there is 9 problems so be prepared):

1.2^(1/3)∙4^(1/3)

I think it is 4 for the answer.

2. 11^(1/2)∙11^(1/2)

I think it is 11 for the answer.

3. 2^(1/2)∙2^(1/2)

I think it is 2 for the answer.

4. 3^(1/3)∙9^(1/3)

I think the answer is either 3 or 9.

5. 18^(1/2)∙18^(1/2)

I think the answer is 18.

6. 9^(-2.5)

I think the answer is 1/243.

7. 8^(4/3)

I think the answer is 16.

8. 20^(1/2)∙20^(1/2)

I think the answer is 20.

9. 27^(2/3)

I think the answer is 9.

I would appreciate it if any of you could help me. Thank you if you guys can help.

Answer 1

#1.
2^(1/3)*4^(1/3)
= 8^(1/3) = 2

#2,3 , ok
#4 same reasoning as #1
3((1/3) * 9^(1/3)
= 27(1/3) = 3

#5, 6, 7, 8, 9 are all ok

Answer 2

Thank you Reiny. I know it was a lot, so thank you for going through them and checking my answers. I will make sure to see what I did wrong on 1 and 4. Also, thank you for giving me another way of doing these type of problems. Thank you!

Answer 3

remember , the method I used only works if the exponents are the same,

that is,
a^m * b^m = (ab)^m