Đáp án:

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`e,`

`(2^{15} × 9^4)/(6^3 × 8^3)`

`= (2^{15} × (3^2)^4)/( (2×3)^3 × (2^3)^3)`

`= (2^{15} × 3^8)/(2^3×3^3 × 2^9)`

`= (2^{15} × 3^8)/(2^{12} × 3^3)`

`= (2^3 × 3^5)/(1×1)`

`= 8 × 243`

`= 1944`

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`h,`

`(9^8 × 8^6)/(16^4 × 3^{17})`

`= ( (3^2)^8 × (2^3)^6)/( (2^4)^4 × 3^{17})`

`= (3^{16} × 2^{18})/(2^{16} × 3^{17})`

`= (1 × 2^2)/(1×3)`

`= 4/3`

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`f,`

`(8^{10} + 4^{10})/(8^4 + 4^{11})`

`= ( (2^3)^{10} + (2^2)^{10})/( (2^3)^4 + (2^2)^{11})`

`= (2^{30} + 2^{20})/(2^{12} + 2^{22})`

`= (2^{12} (2^{18} + 2^8) )/(2^{12} (1 + 2^{10}) )`

`= (2^{18} + 2^8)/(1 + 2^{10})`

`= (262144 + 256)/(1 + 1024)`

`= 262400/1025`

`= 256`

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`i,`

`(2^2 × 4 × 32)/( (-2)^2 × 2^5)`

`= (2^2 × 2^2 × 2^5)/(4 × 2^5)`

`= 2^9/(2^2×2^5)`

`= 2^9/2^7`

`= 2^2`

`= 4`

Đáp án:

 e, `(2^15 . 9^4)/(6^3 . 8^3)`

` = (2^15 . 3^8)/(2^3 . 3^3 . 2^9)`

` = (2^15 . 3^8)/(2^12 . 3^3)`

` = 2^3 . 3^5 = 8 . 243 = 1994`

h, `(9^8 . 8^6)/(16^4 . 3^17)`

`= (3^16 . 2^18)/(2^16 . 3^17)`

`= 4/3`

f, `(8^10 + 4^10)/(8^4 + 4^11)`

`= (2^30 + 2^20)/(2^12 + 2^22)`

 `= (2^20 . (2^10 + 1))/(2^12 . (1 + 2^10))`

` = 2^8`

i, `(2^2 . 4 . 32)/((-2)^2 . 2^5)`

`= (2^2 . 2^2 . 2^5)/(2^2 . 2^5)`

`= 2^2 = 4`