(-3/5)100 = (-3 100/-5 100)
True.
Consider the LHS = (-3/5)100
-3 can be written as = (-1 × 3)
So, ((-1 × 3)/5)100
= (-1 100 × 3 100)/5100 = (1 × 3 100)/5100
= 3100/5100
Then, consider the RHS = -3
100/-5 100
= 3100/5100
By comparing LHS and RHS,
LHS = RHS
3 100/5100 = 3100/5100
Therefore, (-3/5)100 = (-3 100/-5 100)
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