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Mathematics 25 Online
OpenStudy (mckenzieandjesus):

Here

OpenStudy (mckenzieandjesus):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

oh so the full problem is \(\LARGE 10^{-2}\) ??

OpenStudy (mckenzieandjesus):

no idk why its showing like that

jimthompson5910 (jim_thompson5910):

oh so it's \(\LARGE -(10)^{-2}\) ??

OpenStudy (mckenzieandjesus):

yes

jimthompson5910 (jim_thompson5910):

the negative exponent tells us to take the reciprocal of the base to make the exponent positive so \[\Large -(10)^{-2} = -\frac{1}{10^2}\]

OpenStudy (mckenzieandjesus):

oh okay thank you

jimthompson5910 (jim_thompson5910):

no problem

OpenStudy (mckenzieandjesus):

Order 34*10^2, 1.2*10^7, 8.11*10^-3, and 435 from least to greatest.

jimthompson5910 (jim_thompson5910):

I would use a calculator to evaluate 34*10^2, 1.2*10^7, and 8.11*10^-3 get everything to decimal form and then you'll be able to compare

OpenStudy (mckenzieandjesus):

i think its 8.11*10^-3, 34*10^2, 435,1.2*10^7

jimthompson5910 (jim_thompson5910):

where would 435 fit in there

jimthompson5910 (jim_thompson5910):

you have it right so far

OpenStudy (mckenzieandjesus):

doesn't it go where i put it?

jimthompson5910 (jim_thompson5910):

Oh I didn't see it buried in there. My bad

jimthompson5910 (jim_thompson5910):

yes you have the right order for all 4 numbers

OpenStudy (mckenzieandjesus):

oh its ok :)

OpenStudy (mckenzieandjesus):

simplify the expression (7.26)^-9*(7.26)^10 wouldn't this be -7.26^19?

jimthompson5910 (jim_thompson5910):

I'm getting `(7.26)^(-9)*(7.26)^10 = 7.26` hmm I'm curious how you got your answer

OpenStudy (mckenzieandjesus):

well i was thinking it be either that or 7.26

jimthompson5910 (jim_thompson5910):

how did you get the `^19` part?

jimthompson5910 (jim_thompson5910):

oh nvm I see what you mean now

OpenStudy (mckenzieandjesus):

the two exponents

jimthompson5910 (jim_thompson5910):

\[\Large (7.26)^{-9}*(7.26)^{10} = 7.26^{-9+10} = 7.26^1 = 7.26\]

OpenStudy (mckenzieandjesus):

oh ok

OpenStudy (mckenzieandjesus):

thanks so much!

jimthompson5910 (jim_thompson5910):

you're welcome

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