Question

Find value of m if (2) to the power of m is multiplied by (2) to the power (-6) =2 to the power (2 m-1)

Answer 1

Answer:

$m = - 5$

Step-by-step explanation:

${2}^{m} \times {2}^{ - 6} = {2}^{2m - 1} \\ {2}^{m + ( - 6)} = {2}^{2m - 1} \\ {2}^{m - 6} = {2}^{2m - 1} \\ m - 6 = 2m - 1 \\ m - 2m = - 1 + 6 \\ - m = 5 \\ m = - 5$

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Answer 2

Step-by-step explanation:

I hope that above procedure helps u

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