5(600)=40*2^-600/T Denklemini Çözme

$$5 ( 600 ) = 40 \cdot 2 ^ { - 600 } / T$$

T için çözün

$$T=\frac{1}{311213667666074471888430589776837086325933467418182767499674299726798960855968110979978028671032784571614841495847559188679636330655883148091515612558547276529588635255113214276403200}\approx 3,213226487 \cdot 10^{-183}$$

Doğrusal Denklem Çözme Adımları

Sıfıra bölünme tanımlı olmadığından T değişkeni, 0 değerine eşit olamaz. Denklemin her iki tarafını T ile çarpın.

$$5\times 600T=40\times 2^{-600}$$

5 ve 600 sayılarını çarparak 3000 sonucunu bulun.

$$3000T=40\times 2^{-600}$$

-600 sayısının 2 kuvvetini hesaplayarak \frac{1}{4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376} sonucunu bulun.

$$3000T=40\times \frac{1}{4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376}$$

40 ve \frac{1}{4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376} sayılarını çarparak \frac{5}{518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672} sonucunu bulun.

$$3000T=\frac{5}{518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672}$$

Her iki tarafı 3000 ile bölün.

$$T=\frac{\frac{5}{518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672}}{3000}$$

\frac{\frac{5}{518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672}}{3000} değerini tek bir kesir olarak ifade edin.

$$T=\frac{5}{518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672\times 3000}$$

518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 ve 3000 sayılarını çarparak 1556068338330372359442152948884185431629667337090913837498371498633994804279840554899890143355163922858074207479237795943398181653279415740457578062792736382647943176275566071382016000 sonucunu bulun.

$$T=\frac{5}{1556068338330372359442152948884185431629667337090913837498371498633994804279840554899890143355163922858074207479237795943398181653279415740457578062792736382647943176275566071382016000}$$

5 terimini kökün dışına çıkarıp yok ederek \frac{5}{1556068338330372359442152948884185431629667337090913837498371498633994804279840554899890143355163922858074207479237795943398181653279415740457578062792736382647943176275566071382016000} kesrini sadeleştirin.

$$T=\frac{1}{311213667666074471888430589776837086325933467418182767499674299726798960855968110979978028671032784571614841495847559188679636330655883148091515612558547276529588635255113214276403200}$$