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Question
Simplify: (32)3 × (2 × 35)−2 × (18)2
Sum
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Solution
(32)3 × (2 × 35)−2 × (18)2 = `3^(2 xx 3) xx 1/(2 xx 3^5)^2 xx 18^2`
= `3^6 xx 1/(2^2 xx (3^5)^2) xx 18^2`
= `3^6 xx 1/(2^2 xx 3^10) xx (2 xx 3^2)^2`
= `3^6 xx 1/(2^2 xx 3^10) xx 2^2 xx 3^(2 xx 2)`
= `3^6 xx 1/(2^2 xx 3^10) xx 2^2 xx 3^4`
= `(3^(6 + 4) xx 2^2)/(2^2 xx 3^10)`
= `(3^10 xx 2^2)/(2^2 xx 3^10)`
= 1
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Chapter 1: Numbers - Exercise 1.6 [Page 45]
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