convert 1 joule to ergs in dimensional analysis

Joule is the unit for the quantity of energy.Hence,Dimensional formula for joule is M1L2T-2Letn1joule=n2ergHence,n1M11L12T1-2=n2M21L22T2-2  Here 1-> SI system and 2->CGS systemn2=n1M11L12T1-2M21L22T2-2    =n1×M1M2×L1L22×T1T2-2     =1 ×1 kg1 g×1 m1 cm2×1 s1 s-2     =1 ×1000 g1 g×100 cm1 cm2×1 s1 s-2     =107Therefore,n1joule=n2erg1 joule = 107 ergs

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10000000 erg = i joule
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thnkss..,.but I want dimensional analysis
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Joule dimension is same of momentom 
 
momentom = mv ( where m is mass and v is velocity )
            -1             -1
= M*LT      =MLT


 
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What are you looking for?