9^14.25^3.8^7/18^12.625 ³.24 ³

2 câu trả lời

`(9^14 . 25^3 . 8^7)/(18^12 . 625^3 . 24^3 )`

`= ((3^2)^14 . (5^2)^3 . (2^3)^7 )/((2.3^2)^12 . (5^4)^3 . (2^3 . 3)^3 )`

`= (3^28 . 5^6 . 2^21 )/(2^12 . 3^24 . 5^12 . 2^9 . 3^3 )`

`= (3^28 . 5^6 . 2^21 )/(2^21 . 3^27 . 5^12 )`

`= 3/5^6`

`= 3/15625`

`#dtkc`

 

Đáp án:

 `3`

Giải thích các bước giải:

$\dfrac{9^{14} . 25^{6} . 8^{7}}{18^{12} . 625^{3} . 24^{3}}$

= $\dfrac{(3^2)^{14} . (5^2)^{6} . (2^3)^{7}}{(2.3^2)^{12} . (5^4)^{3} . (3.2^3)^{3}}$

= $\dfrac{3^{28} . 5^{12} . 2^{21}}{2^{21} . 3^{24} . 5^{12} . 3^{3} . 2^{9}}$

= $\dfrac{3^{28} . 5^{12} . 2^{21}}{2^{21} . 3^{27} . 5^{12} }$

= `3`

#nguyetphan52