Question

If (5⁴)m = 5 ¹²,what is the value of m 2 3 5 8

Answer 1

The correct answer is:  [B]:  " 3 " .
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Note:  
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The question asks:
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If (5⁴)ᵐ  = 5¹² ;  then what is "m" ?

Note the following property of exponents:
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   (xᵃ)ᵇ = x⁽ᵃ*ᵇ⁾ ; a≠0 ; b ≠ 0 ;  

Then,  (5⁴)³ = 5⁽⁴ * ³⁾ = 5¹² .

So, "12 ÷ 4 = 3" .
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The answer is:  "m = 3" ; which is:  Answer choice:  [B] .
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