Bài 1: a)(1/9)2005.92005-962:242 b)4510.520/7515 c)5.415.99-4.320.89/5.29.619-7.229.278 01/07/2021 Bởi Clara Bài 1: a)(1/9)2005.92005-962:242 b)4510.520/7515 c)5.415.99-4.320.89/5.29.619-7.229.278
Đáp án + Giải thích các bước giải: `a)(1/9)^2005 . 9^2005 – 96^2 : 24^2` `= (1/9 . 9)^2005 – (96 : 24)^2` `= 1^2005 – 4^2` `= 1 – 16` `= -15` `b) (45^10 . 5^20)/75^15``= ( `= ((3^2 . 5)^10 . 5^20)/(3 . 5^2)^15` `= (3^20 . 5^30)/ (3^15 . 5^30)` `= 3^5` `= 234` `c)(5 . 4^15 . 9^9-4 . 3^20 . 8^9)/(5 . 2^9 . 6^19-7 . 2^29 . 27^8)` `= (5 . (2^2)^15 . (3^2)^9 – 2^2 . 3^20 . (2^3)^9)/(5 . 2^9 . (2.3)^19 – 7 . 2^29 . (3^3)^8)` `= (5 . 2^30 . 3^18 – 2^2 . 3^20 . 2^27)/(5 . 2^9 . 2^19 . 3^19 – 7 . 2^29 . 3^24)` `= (5 . 2^30 . 3^18 – 2^29 . 3^20 . 2)/(5 . 2^28 . 3^19 – 7 . 2^29 . 3^24)` `= (2^29 . 3^18 . (5 . 2 – 3^2))/(2^28 . 3^18 . (5.3 – 7.2))` `= (2^29 . 3^18 .1)/(2^28 . 3^18 . 1)` `= 2` Bình luận
Đề:a)(1/9)^2005.9^2005-96^2:24^2 b)45^10.5^20/75^15 c)5.4^15.9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^8 Bài làm: a)(1/9)^2005.9^2005-96^2:24^2 =(9/9)^2005-4^2 =1^2005-16 =1-16 =-15 b)45^10.5^20/75^15 =45^10.(5^2)^10/75^15 =45^10.25^10/75^15 =1125^10/75^15 =(1125^2)^5/(75^3)^5 =1265625^5/421875^5 =3^5/1 =243 c)5.4^15.9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^8 Bài này mình không biết làm sorry bạn nhé!!! Bình luận
Đáp án + Giải thích các bước giải:
`a)(1/9)^2005 . 9^2005 – 96^2 : 24^2`
`= (1/9 . 9)^2005 – (96 : 24)^2`
`= 1^2005 – 4^2`
`= 1 – 16`
`= -15`
`b) (45^10 . 5^20)/75^15``= (
`= ((3^2 . 5)^10 . 5^20)/(3 . 5^2)^15`
`= (3^20 . 5^30)/ (3^15 . 5^30)`
`= 3^5`
`= 234`
`c)(5 . 4^15 . 9^9-4 . 3^20 . 8^9)/(5 . 2^9 . 6^19-7 . 2^29 . 27^8)`
`= (5 . (2^2)^15 . (3^2)^9 – 2^2 . 3^20 . (2^3)^9)/(5 . 2^9 . (2.3)^19 – 7 . 2^29 . (3^3)^8)`
`= (5 . 2^30 . 3^18 – 2^2 . 3^20 . 2^27)/(5 . 2^9 . 2^19 . 3^19 – 7 . 2^29 . 3^24)`
`= (5 . 2^30 . 3^18 – 2^29 . 3^20 . 2)/(5 . 2^28 . 3^19 – 7 . 2^29 . 3^24)`
`= (2^29 . 3^18 . (5 . 2 – 3^2))/(2^28 . 3^18 . (5.3 – 7.2))`
`= (2^29 . 3^18 .1)/(2^28 . 3^18 . 1)`
`= 2`
Đề:a)(1/9)^2005.9^2005-96^2:24^2
b)45^10.5^20/75^15
c)5.4^15.9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^8
Bài làm:
a)(1/9)^2005.9^2005-96^2:24^2
=(9/9)^2005-4^2
=1^2005-16
=1-16
=-15
b)45^10.5^20/75^15
=45^10.(5^2)^10/75^15
=45^10.25^10/75^15
=1125^10/75^15
=(1125^2)^5/(75^3)^5
=1265625^5/421875^5
=3^5/1
=243
c)5.4^15.9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^8
Bài này mình không biết làm sorry bạn nhé!!!