Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (anonymous):

Simplify. PLEASE HELP. Medal and Fan!

OpenStudy (anonymous):

\[3\frac{ 1 }{ 2 }\times3\frac{ 1 }{ 2 }\]

OpenStudy (anonymous):

@misty1212 i feel like this is really easy, would it be 6 1/2?

OpenStudy (misty1212):

are these mixed numbers or exponents?

OpenStudy (anonymous):

mixed numbers

OpenStudy (misty1212):

your sure, it is \(3\tfrac{1}{2}\) not \(3^{\frac{1}{2}}\)

OpenStudy (anonymous):

Wait, youre right. its the second one

OpenStudy (misty1212):

lol how'd i guess?

OpenStudy (anonymous):

lol

OpenStudy (misty1212):

first off if it was mixed numbers it would certainly not be what you wrote \[\frac{7}{2}\times \frac{7}{2}=\frac{49}{4}=12\tfrac{1}{4}\]

OpenStudy (misty1212):

but since they are exponetns, all you have to do is add them what is \[\frac{1}{2}+\frac{1}{2}?\]

OpenStudy (anonymous):

2/4? or 2/2?

OpenStudy (misty1212):

second one

OpenStudy (anonymous):

1/2

OpenStudy (anonymous):

okay

OpenStudy (misty1212):

oh no dear, how is one half plus one half equal one half?

OpenStudy (misty1212):

what is one half plus one half?

OpenStudy (anonymous):

i didnt think through that. and 2/2

OpenStudy (anonymous):

1

OpenStudy (misty1212):

whew!

OpenStudy (misty1212):

so \[3^1\] is your answer, better known as \(3\) because we don't really write an exponent if it is one, do we?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

but we dont times the 3 ?

OpenStudy (misty1212):

\[\color\magenta\heartsuit\]

OpenStudy (misty1212):

times it by what ?

OpenStudy (anonymous):

3*3 is 6? or were just simplifying, not solving, right?

OpenStudy (misty1212):

this is what you are using \[b^n\times b^m=b^{n+m}\]

OpenStudy (misty1212):

what you multiply with the same base, you add the exponents

OpenStudy (anonymous):

oh okay so 3 is the answer

OpenStudy (misty1212):

in this case \[\huge 3^{\frac{1}{2}}\times 3^{\frac{1}{2}}=3^{\frac{1}{2}+\frac{1}{2}}=3^1=3\]

OpenStudy (misty1212):

yes 3 is the answer btw \(3^{\frac{1}{2}}=\sqrt3\)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!