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

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satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0bet you got the idea now. write it without the negative exponents. then clear the fractions

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{5^{4}  5^{6}}{5^{3} +5^{5}}\] muttiply top and bottom by \[5^6\]

Cutiepo0
 3 years ago
Best ResponseYou've already chosen the best response.0I got (1/5^4  1/5^6)/ (1/5^3 +1/5^5)

Cutiepo0
 3 years ago
Best ResponseYou've already chosen the best response.0wait. How come I have to multiply top and bottom by 5^6?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0that will clear the fractions. \[5^{4}\times 5^6=5^2\]

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0if you want you can write this in fraction notation. then you will see that you should multiply top and bottom by \[5^6\]

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i will write it out if you like

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{5^{4}5^{6}}{5^{3}+5^{5}}\times \frac{5^6}{5^6}\]

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{5^21}{5^3+5}\] is the second line clear?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i added the exponents, and i chose \[5^6\] so that they would all be positive

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0because i want to evaluate the numbers, i need the exponents to be positive

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0now i can see what the numbers are. numerator is 25+1=26

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0denominator is 125+5=130

Cutiepo0
 3 years ago
Best ResponseYou've already chosen the best response.0Isn't the numerator 251?

Cutiepo0
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, that's great, thanks :) I was making it way more complicated thn it needed to be

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i would like to say that was a "typo" but i guess it was a mistake. in any case you have the answer, it is \[\frac{24}{130}=\frac{12}{65}\]
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