Question

[Kiên Nguyễn Chí]

(-27)^10x16^25/6^30x-(32)^15

AE giúp tôi với :)

Answer 1

[Trịnh Minh Hoàng]

`((-27)^10 . 16^25)/(6^30 . (-32)^15)`
`= (3^30 . 2^100)/(2^30 . 3^30 . -2^75)`
`= (2^100)/(2^30 . -2^75)`
`= (2^70)/(-2^75)`
`= -2^145`

Answer 2

[Nguyễn Thị Thương Hoài]

A = \(\dfrac{\left(-27\right)^{10}.16^{25}}{6^{30}.\left(-32\right)^{15}}\)

A = \(\dfrac{\left(3^3\right)^{10}.\left(2^4\right)^{25}}{\left(2.3\right)^{30}.\left(-32\right)^{15}}\)

A = \(\dfrac{3^{30}.2^{100}}{2^{30}.3^{30}.\left(-2^5\right)^{15}}\)

A = \(\dfrac{3^{20}.2^{100}}{3^{30}[2^{30}.\left(-2\right)^{75}].}\)

A = \(-\dfrac{2^{100}}{\left[2^{30}.\left(2\right)^{75}\right]}\)

A = -2^{100 - 30 - 75}

A = - 2^70-75

A = -2^-5 

A = - \(\dfrac{1}{32}\)