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Find three repeater machines that will do the same work as a (× 64) machine. Draw them, or describe them using exponents. - Mathematics

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Question

Find three repeater machines that will do the same work as a (× 64) machine. Draw them, or describe them using exponents.

Diagram

Solution

We know that, the possible factors of 64 are 2, 4, 8. :

If 26 = 64, 43 = 64 and 82 = 64

Hence, three repeater machines that would work as a (× 64) will be (× 26), (× 43) and (× 82).

The diagram of (× 26), (× 43) and (× 82) is given below.

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Chapter 8: Exponents and Powers - Exercise [Page 266]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 151. | Page 266

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