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Question

State whether the given statement is True or False: (-35)100=(-3100-5100)


A
True
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B
False
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Solution

The correct option is A True

Determine the given statement (-35)100=(-3100-5100)

Evaluate L.H.S :

(-35)100=(-1×35)100=(-1100×3100)5100[Since(a×b)m=am×bm]and[Since(-1)n=1ifniseven]=(1100×3100)5100[-1100=1and1100=1]=31005100

Solve R.H.S part:

(-3100-5100)=(31005100)

Hence, the L.H.S = R.H.S so, the given statement is “True”.


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