Đáp án:
Giải thích các bước giải:
a) `27^3 . 9^2 : 81^3`
`= (3^3)^3 . (3^2)^2 : (3^4)^3`
`= 3^9 . 3^4 : 3^12 = 3^13 : 3^12 = 3^1 = 3`
b) `625^3 . 1/125^4`
`= (5^4)^3 . 1/(5^3)^4`
`= 5^12 . 1/5^12 = 5^12/5^12 = 1`
c) `8^6 . (3/2)^18 . (1/9)^8`
`= (2^3)^6 . (3/2)^18 . [(1/3)^2]^8`
`= 2^18 . (3/2)18 . (1/3)^16`
`= (2 . 3/2)^18 . (1/3)^16`
`= 3^18 . (1/3)^16`
`= 3^16 . 3^2 . (1/3)^16`
`= (3 . 1/3)^16 . 3^2 = 1^16 . 3^2 = 1 . 9 = 9`
d) `125^4 . 16^3`
`= (5^3)^4 . (2^4)^3`
`= 5^12 . 2^12 = (5 . 2)^12 = 10^12`
e) `0,125^4 . (1/2)^6 : 0,25^8`
`= (0,5^3)^4 . (1/2)^6 : (0,5^2)^8`
`= 0,5^12 . (1/2)^6 : 0,5^16`
`= 0,5^12 : 0,5^16 = 0,5^-4 . 1/32`
`= 16 . 1/32 = 1/2`
Học tốt. Nocopy.
