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Question
Express as a power of a rational number with negative exponent.
(25 ÷ 28) × 2–7
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Solution
Using laws of exponents,
am ÷ an = am – n
And am × an = am + n ...[∵ a is non-zero integer]
∴ (25 ÷ 28) × 2–7 = (25 – 8) × 2–7
= 2–3 × 2–7
= 2–3 – 7
= 2–10
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