Cutiepo0
How to evaluate > (5^4  5^6)/(5^3 +5^5)



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anonymous
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bet you got the idea now. write it without the negative exponents. then clear the fractions

Cutiepo0
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Okay so:

anonymous
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\[\frac{5^{4}  5^{6}}{5^{3} +5^{5}}\] muttiply top and bottom by
\[5^6\]

Cutiepo0
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I got (1/5^4  1/5^6)/ (1/5^3 +1/5^5)

Cutiepo0
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wait. How come I have to multiply top and bottom by 5^6?

anonymous
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that will clear the fractions.
\[5^{4}\times 5^6=5^2\]

anonymous
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if you want you can write this in fraction notation. then you will see that you should multiply top and bottom by
\[5^6\]

anonymous
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i will write it out if you like

Cutiepo0
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please do, thanks

anonymous
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\[\frac{5^{4}5^{6}}{5^{3}+5^{5}}\times
\frac{5^6}{5^6}\]

anonymous
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\[\frac{5^21}{5^3+5}\] is the second line clear?

Cutiepo0
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pardon?

anonymous
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i added the exponents, and i chose
\[5^6\] so that they would all be positive

Cutiepo0
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okay

anonymous
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because i want to evaluate the numbers, i need the exponents to be positive

Cutiepo0
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mmhm

anonymous
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now i can see what the numbers are. numerator is 25+1=26

anonymous
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denominator is 125+5=130

Cutiepo0
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Isn't the numerator 251?

anonymous
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oops yes

Cutiepo0
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Okay, that's great, thanks :) I was making it way more complicated thn it needed to be

anonymous
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i would like to say that was a "typo" but i guess it was a mistake. in any case you have the answer, it is
\[\frac{24}{130}=\frac{12}{65}\]

anonymous
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good!
yw

emilystardawn
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i like ur pic