(3/4x^2y^3z)^2021.(8/3y.z^3)^2021 Thu gọn biểu thức

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1. Đáp án:

   `(3/4x^2y^3z)^2021.(8/3y.z^3)^2021=(2.x^2.y^4.z^4)^2021`

   Giải thích các bước giải:

   `(3/4x^2y^3z)^2021.(8/3y.z^3)^2021`
   `=(3/4)^2021 (x^2)^2021 (y^3)^2021 z^2021 . (8/3)^2021 y^2021 .(z^3)^2021`
   `=(3/4)^2021 x^4042 y^6063 z^2021 . (8/3)^2021 y^2021 .z^6063`
   `=[(3/4)^2021 .(8/3)^2021].x^4042 .(y^6063 . y^2021) .(z^2021 z^6063)`
   `=[(3/4 . 8/3)^2021].x^4042 .y^8084.z^8084`
   `=2^2021 .x^(2.2021) .y^(4.2021).z^(4.2021)`
   `=2^2021 .(x^2)^2021.(y^4)^2021.(z^4)^2021`
   `=(2.x^2.y^4.z^4)^2021`

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2. Đáp án + giải thích bước giải :

   `(3/4x^2y^3z)^{2021} . (8/3yz^3)^{2021}`

   `= (3/4)^{2021} . x^{4042) . y^{6063} . z^{2021} . (8/3)^{2021} . y^{2021} . z^{6063}`

   `= [(3/4)^{2021} . (8/3)^{2021}] x^{4042} (y^{6063} . y^{2021}) (z^{2021} . z^{2021}`

   `= 2^{2021} . (x^2)^{2021} . (y^4)^{2021} . (z^4)^{2021})`

   `= (2x^2y^4z^4)^{2021}`

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