Hướng dẫn trả lời:
a) `27^64 ÷ 81^20`
`= (3^3)^64 ÷ (3^4)^20`
`= 3^192 ÷ 3^80`
`= 3^{112}`
b) `(1/8)^20 ÷ (1/16)^9`
`= [(1/2)^3]^20 ÷ [(1/2)^4]^9`
`= (1/2)^60 ÷ (1/2)^36`
`= (1/2)^24`
c) `1/3 ÷ 1/5 - 1/6`
`= 1/3 . 5/1 - 1/6`
`= 5/3 - 1/6`
`= 10/6 - 1/6`
`= 9/6`
`= 3/2`
d) `{8/15 - 8/31- 8/47 + 8/59}/{-1 + 15/31 + 15/47- 15/59}`
`= {-8/15.(-1) - 8/15. 15/31 - 8/15. 15/47 - 8/15. (-15/59)}/{-1 + 15/31 + 15/47- 15/59}`
`= {-8/15.(-1 + 15/31 + 15/47 - 15/59)}/{-1 + 15/31 + 15/47- 15/59}`
`= -8/15`
Đáp án:
a) `= 3^{112}`
b) `= (1/2)^24`
c) `= 3/2`
d) `= -8/15`