1. Viết kết quả về dạng lũy thừa :
a, $16^{3}. $64^{5}$
b, $10^{5} . $100^{5}. $1000^{2}$
2. Tính :
a, $25^{9} : $125^{5}$
b, $16^{5} : $4^{6} : $8^{2}$
1. Viết kết quả về dạng lũy thừa : a, $16^{3}. $64^{5}$ b, $10^{5} . $100^{5}. $1000^{2}$ 2. Tính : a, $25^{9} : $125^{5}$ b, $16^{5} : $
By Mary
Xin lỗi bạn, mình làm hơi lâu:
`1.`
`a)16^3. 64^5`
`=(2^4)^3.(2^6)^5`
`=2^12. 2^30`
`=2^(12+30)`
`=2^42`
`b)10^5. 100^5. 1000^2`
`=10^5. (10^2)^5. (10^3)^2`
`=10^5. 10^10. 10^6`
`=10^(5+10+6)`
`=10^21`
`2.`
`a)25^9:125^5`
`=(5^2)^9:(5^3)^5`
`=5^18:5^15`
`=5^(18-15)`
`=5^3`
`=125`
`b)16^5:4^6:8^2`
`=(2^4)^5:(2^2)^6:(2^3)^2`
`=2^20:2^12:2^6`
`=2^(20-12-6)`
`=2^2`
`=4.`
`1,`
`a, 16^3 . 64^5`
`= ( 2^4 )^3 . ( 2^6 )^5`
`= 2^12 . 2^30`
`= 2^42`
`b, 10^5 . 100^5 . 1000^2`
`= 10^5 . ( 10^2 )^5 . ( 10^3 )^2`
`= 10^5 . 10^{10} . 10^6`
`= 10^{15} . 10^6`
`= 10^{21}`
`2,`
`a, 25^9 : 125^5`
`= ( 5^2 )^9 : ( 5^3 )^5`
`= 5^{18} : 5^{15}`
`= 5^3`
`b, 16^5 : 4^6 : 8^2`
`= ( 2^4 )^5 : ( 2^2 )^6 : ( 2^3 )^2`
`= 2^{20} : 2^{12} : 2^6`
`= 2^{8} : 2^6`
`= 2^2`