Question

Simplify:

124 9

3 4

6

3 8

2 27​

Answer 1

Solution : (i) `(12^4*9^3*4)/(6^3*8^2*27)` <br> `= ((2^2*3)^4*(3^2)^3 *2^2)/((2*3)^3 *(2^3)^2 * 3^3)` <br> `= (2^8*3^4*3^6*2^2)/(2^3*3^3*2^6*3^3)` <br> `= 2^(8+2-3-6)*3^(4+6-3-3)` <br> `= 2*3^4 = 162` <br> (ii) `2^3*a^3*5a^4` <br> `= 2^3*a^3*a^4*5` <br> `= 2^3*5*a^(3+4)` <br> `= 8*5*a^7 = 40a^7` <br>

This is the answer!

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