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Simplify and express the following in exponential form: 254 ÷ 53 - Mathematics

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Question

Simplify and express the following in exponential form:

254 ÷ 53

Sum

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 13: Exponents and Powers - Exercise 13.2 [Page 260]

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NCERT Mathematics [English] Class 7
Chapter 13 Exponents and Powers
Exercise 13.2 | Q 2.03 | Page 260

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