Question

solve the following question ​

Answer 1

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Answer 2

Answer:

m = 0

Note:

★ a^m × a^n = a^(m+n)

★ a^m / a^n = a^(m-n)

★ a^m × b^m = (a×b)^m

★ (a^m)^n = a^(mn)

★ a° = 1

★ a^m = a^n => m = n

Solution:

We have ;

=> [ (6^m) × (6^3) ] / 6^(-5) = 6^8

=> (6^m) × (6^3) = (6^8) × 6^(-5)

=> 6^(m + 3) = 6^[8 + (-5)]

=> 6^(m + 3) = 6^[8 - 5]

=> 6^(m + 3) = 6^3

=> m + 3 = 0

=> m = 3 - 3

=> m = 0

Hence,

The required value of m is 0 .