Question

find value of m in 6^m × 6^2 = 1296

Answer 1

6^m × 6^2 = 1296

6^m = 1296/36

6^m = 36

6^m = 6^2

m = 2

Answer 2

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${6}^{m} \times {6}^{2} = 1296. \\ \\ = > {6}^{m} \times 36 = 1296 \\ \\ = > {6}^{m} = \frac{1296}{36} . \\ \\ = > {6}^{m} = 36. \\ \\ = > {6}^{m} = {6}^{2} . \\ \\ = > m = 2.$

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