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Question
(–9)3 ÷ (–9)8 is equal to ______.
Options
(9)5
(9)–5
(– 9)5
(– 9)–5
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Solution
(–9)3 ÷ (–9)8 is equal to (– 9)–5.
Explanation:
Given, (–9)3 ÷ (–9)8
Using law of exponents,
am ÷ an = (a)m – n ...[∵ a is non-zero integer]
∴ (–9)3 ÷ (–9)8 = (–9)3 – 8 = (–9)–5
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