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The value for (–7)6 ÷ 76 is ______. - Mathematics

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Question

The value for (–7)6 ÷ 76 is ______.

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Solution

The value for (–7)6 ÷ 76 is 1.

Explanation:

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

∴ (–7)6 ÷ 76 = (7)6 ÷ (7)6  ...[(– am) = (am), if m is an even number]

= (7)6 – 6  

= (7)0   ...[∵ a0 = 1]

= 1

Hence, (–7)6 ÷ 76 = 1

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Chapter 8: Exponents and Powers - Exercise [Page 255]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 64. | Page 255

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