Tính: a=72 mũ 3 x 54 mũ 2 : 1084 b=3 mũ 10 x 11 + 3 mũ 10 x 5 : 39 x 24

Đáp án+Giải thích các bước giải:

 `A=72^{3}.54^{2}:1084`

`=72^{3}.54^{2}.\frac{1}{1084}`

`=\frac{72^{3}.54^{2}}{1084}`

`=\frac{72^{3}.(3^{3}.2)^{2}}{2^{2}.271}`

`=\frac{72^{3}.3^{6}.2^{2}}{2^{2}.271}`

`=\frac{(72.3)^{3}.9}{271}`

`=\frac{216^{3}.9}{271}`

`=\frac{272097792}{271}`

Vậy `A=\frac{272097792}{271}`

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`B=3^{10}.11+3^{10}.5:3^{9}.24`

`=3^{10}.11+3^{10}.5. \frac{1}{3^{9}}.24`

`=3^{10}.11+\frac{3^{10}.5.24}{3^{9}}`

`=3^{10}.11+3.5.24`

`=3.(3^{9}.11+5.24)`

`=3.(216513+120)`

`=3.216633`

`=649899`

Vậy `B=649899`