why if the power of a negative number is odd the result is negative  and even is positive
 

We know that,-1odd = -1 ;  -1even = 1When we multiply negative sign odd number of times, then we get negative sign in the solution.For example,-23 = -2×-2×-2 =-1×-1×-1 ×2×2×2 = -1 × 8 = -8When we multiply negative sign even number of times, we get positive sign in the solution.For example,-24 =  -2×-2×-2 × -2 = -1×-1×-1 ×-1×2×2×2×2 = 1 × 16 = 16

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