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Question
Express the following in single exponential form:
(–5)5 × (–5)
Sum
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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