Question

if (2 power m)power 4 = 4 power 6, find m​

Answer 1

Answer:

m = 3

Step-by-step explanation:

(2^m)⁴ = 4⁶

(2^m)⁴ = (2²)⁶

2^4m = 2¹²

4m = 12

m = 12/4

m = 3

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Answer 2

Answer:

m = 3

Step-by-step explanation:

(2^m)^4 = 4^6

2^4m = 4^6   {(a^b)^c = a^bc }

2^4m = 2^12 { 4 = 2^2 }

comparing powers as base is equal,

4m = 12

m = 12/4

m = 3

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