Question

Find the value of of m each of the following
3125²m = 625⁵​

Answer 1

Prime factorisation

Prime factorisation625=5×5×5×5

Prime factorisation625=5×5×5×51125=3×3×5×5×5

Prime factorisation625=5×5×5×51125=3×3×5×5×52125=5×5×5×17

Prime factorisation625=5×5×5×51125=3×3×5×5×52125=5×5×5×17So,HCF =5×5×5=125

Prime factorisation625=5×5×5×51125=3×3×5×5×52125=5×5×5×17So,HCF =5×5×5=125LCM = 3

Prime factorisation625=5×5×5×51125=3×3×5×5×52125=5×5×5×17So,HCF =5×5×5=125LCM = 3 2

Prime factorisation625=5×5×5×51125=3×3×5×5×52125=5×5×5×17So,HCF =5×5×5=125LCM = 3 2 ×5

Prime factorisation625=5×5×5×51125=3×3×5×5×52125=5×5×5×17So,HCF =5×5×5=125LCM = 3 2 ×5 4

Prime factorisation625=5×5×5×51125=3×3×5×5×52125=5×5×5×17So,HCF =5×5×5=125LCM = 3 2 ×5 4 ×17=95625

hope it helps you