The correct answer is: [B]: " 3 " .
_______________________________________________
Note:
_______________________________________________
The question asks:
_______________________________________________
If (5⁴)ᵐ = 5¹² ; then what is "m" ?
Note the following property of exponents:
________________________________________________
(xᵃ)ᵇ = x⁽ᵃ*ᵇ⁾ ; a≠0 ; b ≠ 0 ;
Then, (5⁴)³ = 5⁽⁴ * ³⁾ = 5¹² .
So, "12 ÷ 4 = 3" .
________________________________________________
The answer is: "m = 3" ; which is: Answer choice: [B] .
________________________________________________
