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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: 1) 4¹⁵.16¹²=? 2) 9²⁷.27¹⁵=? 3) 8⁹.32¹²=? 4) 27¹⁶.9¹⁰=?

Toán Lớp 6: 1) 4¹⁵.16¹²=?
2) 9²⁷.27¹⁵=?
3) 8⁹.32¹²=?
4) 27¹⁶.9¹⁰=?

Comments ( 2 )

  1. 1) 4^15 . 16^12
    =(2^2)^15 . (2^4)^12
    =2^30 . 2^48
    =2^{30+48}
    =2^78
    2) 9^27 . 27^15
    =(3^2)^27 . (3^3)^15
    =3^54 . 3^45
    =3^{54+45}
    =3^99
    3) 8^9 . 32^12
    =(2^3)^9 . (2^5)^12
    =2^27 . 2^60
    =2^{27 + 60}
    =2^87
    4) 27^16 . 9^10
    =(3^3)^16 . (3^2)^10
    =3^48 . 3^20
    =3^{48 + 20}
    =3^68

  2. Answer
    1,
    4^{15} . 16^{12}
    = (2^{2})^{15} . (2^{4})^{12}
    = 2^{30} . 2^{48}
    = 2^{78}
    ___________________
    2,
    9^{27} . 27^{15}
    = (3^{2})^{27} . (3^{3})^{15}
    = 3^{54} . 3^{45}
    = 3^{99}
    ____________________
    3,
    8^{9} . 32^{12}
    = (2^{3})^{9} . (2^{5})^{12}
    = 2^{27} . 2^{60}
    = 2^{87}
    ______________________
    4,
    27^{18} . 9^{10}
    = (3^{3})^{18} . (3^{2})^{10}
    = 3^{54} . 3^{20}
    = 3^{74}

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222-9+11+12:2*14+14 = ? ( )