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Mathematics 15 Online
OpenStudy (anonymous):

http://prntscr.com/2j9lwu

OpenStudy (mathmale):

Ellie, others and I would be more inclined to respond to your post if only you would state what it is that you want to know or do.

OpenStudy (anonymous):

Well the part where it says "Complete the pattern using the power of 5" kind of threw me off.

OpenStudy (anonymous):

Like would it be like 1/5^2 = 1/25 ?

OpenStudy (mathmale):

You're being asked to rewrite each of the given expressions with base 5 and an exponent which you are to calculate. Principle:\[\frac{ 1 }{ 5^{2} }=5^{-2}\]

OpenStudy (mathmale):

All I did was apply the rule\[\frac{ 1 }{ a ^{n} }=a ^{-1}.\]

OpenStudy (mathmale):

Try the next one yourself.

OpenStudy (anonymous):

\[\frac{ 1 }{ 5^{1} } = 5^{-1}\]

OpenStudy (mathmale):

Cool. Great! Try the next one, please.

OpenStudy (anonymous):

Well the third one is a bit more confusing, but I'll tell you what I think it is. \[\frac{ 1 }{ 5^{0} } = 1\]

OpenStudy (mathmale):

You could have re-written that one as \[\frac{ 1 }{ 5^{0} }=5^{0}=1,\] but your result is perfectly fine. Next one, please?

OpenStudy (anonymous):

\[\frac{ 1 }{ 5^{-1} } = \frac{ 1 }{ 5^{1} }\] Ugh Idk if this is right... Negatives are more difficult for me.

OpenStudy (mathmale):

Follow the same pattern as before: \[\frac{ 1 }{ 5^{a} }=5^{-a}.\] In this particular problem, your exponent, a, is -1. What is -(-1)?

OpenStudy (anonymous):

+1...?

OpenStudy (mathmale):

Right, so go on to complete that part of the question.

OpenStudy (anonymous):

\[\frac{ 1 }{ 5^{-1} } = 5^{1} ??\]

OpenStudy (mathmale):

Perfect. Next one, please?

OpenStudy (anonymous):

\[\frac{ 1 }{ 5^{-2} } = 5^{2}\]

OpenStudy (mathmale):

Great. Take a deep breath now, review all we've done, and tell me whether or not you have any questions about this process / pattern.

OpenStudy (anonymous):

No actually I pretty much understand it all now xD

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