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Find a single repeater machine that will do the same work as hook-up. - Mathematics

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Question

Find a single repeater machine that will do the same work as hook-up.

Sum

Solution

Using law of exponents, (am × an = am + n)   ...[∵ a is non-zero integer]

Repeater machine can do the work is equal to `2^2 xx (1/2)^3 xx 2^4`

= `2^6 xx 1/2^3`  ...`[∵ a^m/a^n = a^(m - n)]`

= 23  

So, (× 23) single machine can do the same work.

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Chapter 8: Exponents and Powers - Exercise [Page 270]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 159. (e) | Page 270

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