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Question
Express the following in single exponential form:
(–5)5 × (–5)
Sum
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Solution
We have, (–5)5 × (–5) = (–5)5 + 1 = (–5)6 ...[∵ am × an = am + n]
= (–1 × 5)6 = (–1)6 × (5)6 ...[∵ (a × b)m = am × bm]
= 1 × 56 ...[∵ (–1)n = 1, if n is even]
= 56
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