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Simplify and express the following in exponential form: (515 ÷ 510) × 55 - Mathematics

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Question

Simplify and express the following in exponential form:

(515 ÷ 510) × 55

Sum

Solution

We have, (515 ÷ 510) × 5= `(5^15/5^10) xx 5^5` = 515–10 × 55  ......`[∵ a^m/a^n = a^(m - n)]`

= 55 × 55 = 55+5  ......[∵ am × an = am+n]

= 510

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Chapter 11: Exponents and Powers - Exercise [Page 345]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 11 Exponents and Powers
Exercise | Q 84. (f) | Page 345

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