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प्रश्न
Simplify: `(9^2 xx 7^3 xx 2^5)/(84^3)`
योग
उत्तर
`(9^2 xx 7^3 xx 2^5)/(84^3) = ((3^2)^2 xx 7^3 xx 2^5)/(2^2 xx 3 xx 7)^3`
= `(3^(2 xx 2) xx 7^3 xx 2^5)/(2^(2 xx 3) xx 3^3 xx 7^3)`
= `(3^4 xx 7^3 xx 2^5)/(2^6 xx 3^3 xx 7^3)`
= 34−3 × 73−3 × 25−6
= 31 × 70 × 2−1
= 3 × 1 × 2−1
= `3 xx 1/2`
= `3/2`
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अध्याय 1: Numbers - Exercise 1.6 [पृष्ठ ४५]
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