(-8)^n+1×(-4)⁴=(-2)⁵ find n
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Answer =
n = (-2)
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Step-by-step explanation:
(-8)^(n+1) × (-4)^4 =(-2)⁵
(-2³)^(n+1)× (2²)^4 =-2⁵
a^m × a^n = a^(m+n)
and negative integer raised to even no = positive integer
-2^(3×(n+1) × 2^(2×4)
=-2^(3n+3+8) =-2⁵
bases are same =-2,so powers are equal
3n+11 =5
3n= -6
n=-2
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