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Question
Express 3–5 × 3–4 as a power of 3 with positive exponent.
Sum
Solution
Using laws of exponents,
am × an = (a)m + n and `a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ 3–5 × 3–4 = (3)–5 – 4
= (3)–9
= `1/3^9`
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Chapter 8: Exponents and Powers - Exercise [Page 257]
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