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Question
Simplify and express the result in power notation with positive exponent.
(3−7 ÷ 3−10) × 3−5
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Solution
(3−7 ÷ 3−10) × 3−5
= `[3^(-7-(-10))] xx 3^-5` ...[∵ am × an = am − n]
= `[3^(−7+10) × 3^(−5)]`
= `3^3 xx 3^-5 = 3^(3+(-5))` ...[∵ am × an = am + n]
= `3^(3-5) = 3^-2 = 1/(3)^2` ...`[∵ a^-m = 1/a^m]`
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