question for exponents. MEDAL!!
i don't get how they came up with this answer, so if anyone helps me, i will surely appreciate it.

Question

calculusxy · Answer

Simplify the following powers and then select the best answer. $$(a) 6^{2} (b)3^{3} (c) 4^{3}$$ (A) a < c and b > a (B) c > b and a < b (C) a > b and b > c (D) b > c and c < a

calculusxy · Answer

@TuringTest

calculusxy · Answer

My book said that it was option b. And I don't really get it.

mrnood · Answer

If I've understood the question right :
a=36, b=27, c=64
None of the 4 statements is true for these numbers.

calculusxy · Answer

Yes. That's my idea.

calculusxy · Answer

So what do you think i should do?

mrnood · Answer

Be sure you've copied the statements correctly.
What is the question from - homework? test?...

calculusxy · Answer

no it's from a book. wait i will just take a pic to make sure i didn't truly do it.

calculusxy · Answer

wait just a couple of minutes. :)

mrnood · Answer

soz - gtg
Sometimes books make mistakes!

calculusxy · Answer

attachment

mrnood · Answer

Something about the word 'simplify' suggests that you may have written iit wrong. The numbers we have calculated above are just 'calculating ' the powers

mrnood · Answer

You have written it wrong - the book has OR in some of the statements where you have AND
B is correct if you 
read it from the book with OR

calculusxy · Answer

Can you explain to me how b is correct? I probably have misread some directions.

mrnood · Answer

c<b OR a<b
c<b is False
a<b is True

OR requires only one of the terms to be true so the statement B is true

calculusxy · Answer

@phi 
@jdoe0001

calculusxy · Answer

I get it that u have used the process of elimination, but both of the statements must be correct to have the option choice.

mrnood · Answer

I'm not sure I understand what you are saying. If you look at the book then option B says 
c<b OR a<b
(note that you wrote c<b AND a<b this is an error in reading the question)
The logical operators OR AND NOT XOR have specific meanings in logic .
In the CORRECT version of the question - i.e. the one in the book the total statement B is True because 1 of the terms is true

The truth table for the OR operator on 2 terms is:

0,0 = False
0,1 = True
1,0 = True
1,1 = True

i.e. it is only False if BOTH terms are False. Since you have 1 term is True then the statement B is True