Example 5 - Find m so that (-3)^m + 1 x (-3)^5 = (-3)^7 - Chapter 12 C

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Example 5 Find m so that 〖(−3)〗^(𝑚+1) × 〖(−3)〗^5 = 〖(−3)〗^7 〖(−3)〗^(𝑚+1) × 〖(−3)〗^5 = 〖(−3)〗^7 〖(−3)〗^(𝑚 + 1 + 5) = 〖(−3)〗^7 〖(−3)〗^(𝑚 + 6) = 〖(−3)〗^7 Comparing powers m + 6 = 7 m = 7 − 6 m = 1 (Using 𝑎^𝑚×𝑎^𝑛=𝑎^(𝑚 + 𝑛))

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