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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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