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Simplify : (i) (12^4+9^3 xx 4)/(6^3 xx ...

Simplify : (i) `(12^4+9^3 xx 4)/(6^3 xx 8^2 xx 27)` (ii) `2^3 xx a^3 xx 5a^4`

Text Solution

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(i) `(12^4*9^3*4)/(6^3*8^2*27)`
`= ((2^2*3)^4*(3^2)^3 *2^2)/((2*3)^3 *(2^3)^2 * 3^3)`
`= (2^8*3^4*3^6*2^2)/(2^3*3^3*2^6*3^3)`
`= 2^(8+2-3-6)*3^(4+6-3-3)`
`= 2*3^4 = 162`
(ii) `2^3*a^3*5a^4`
`= 2^3*a^3*a^4*5`
`= 2^3*5*a^(3+4)`
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