Find m
so that (-3)^m+1 x (-3)⁵ = (-3)⁷
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Answer:
m = 1
Step-by-step explanation:
- ( -3 ) ^ m + 1 x ( -3 )^5 = ( -3 )^ 7
- ( -3 ) ^ m + 1 + 5 = ( -3 )^7 ( Base in left hand side is same, so power is added . )
- (-3 ) ^ m + 6 = ( -3 ) ^7 ( Power 1 and 5 is added . )
- m + 6 = 7 ( Base on both sides are equal, so powers are also equal . )
- m = 7 - 6 ( when +6 go on another side it become -6 . )
- m = 1 ( 7-6 = 1 )
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