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Question
Simplify and express the following in exponential form:
254 ÷ 53
Sum
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Solution
254 ÷ 53 = (5 × 5)4 ÷ 53
= (52)4 ÷ 53
= 52 × 4 ÷ 53 ...[∵ (am)n = amn]
= 58 ÷ 53
= 58 − 3 ...(∵ am ÷ an = am − n)
= 55
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Chapter 11: Exponents and Powers - EXERCISE 11.2 [Page 181]
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