The no of prime factors in the expression (6)4× (8)6× (10)8× (12)10is - Maths - Exponents and Powers

Question

The no of prime factors in the expression
(6)4× (8)6×
(10)8× (12)10is

Rishabh Mittal · Accepted Answer

Dear Student ,
Please find below the solution to the asked query :

64×86×108×1210=2×34×236×2×58×22×310=24×34×218×28×58×220×310=24+18+8+20×34+10×58                      Since am×an=am+n=250×314×58Here prime factors are 2 , 3 and 5 
Number of prime factors=50+14+8=72   ANS
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The no. of prime factors in the expression (6)4× (8)6× (10)8× (12)10is

The no. of prime factors in the expression (6)⁴× (8)⁶× (10)⁸× (12)¹⁰is