Rút gọn A=4^5×9^4-2×6^9/2^10×3^8+6^8×20

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1. Đáp án:

    $A=\dfrac{-1}{3}$

   Giải thích các bước giải:

    $A=\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\\
   =\dfrac{(2^2)^5.(3^2)^4-2.(2.3)^9}{2^{10}.3^8+(2.3)^8.2^2.5}\\
   =\dfrac{2^{10}.3^8-2.2^9.3^9}{2^{10}.3^8+2^8.3^8.2^2.5}\\
   =\dfrac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}\\
   =\dfrac{2^{10}.3^8(1-3)}{2^{10}.3^8(1+5)}\\
   =\dfrac{-2}{6}\\
   =\dfrac{-1}{3}$

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2. Đáp án:

   `A=(4^5xx9^4-2xx6^9)/(2^10xx3^8+6^8xx20)=-1/3`

   Giải thích các bước giải:

   `A=(4^5xx9^4-2xx6^9)/(2^10xx3^8+6^8xx20)`
   `A=((2^2)^5xx(3^2)^4-2xx(2xx3)^9)/(2^10xx3^8+(2xx3)^8xx2^2xx5)`
   `A=(2^10xx3^8-2xx2^9xx3^9)/(2^10xx3^8+2^8xx3^8xx2^2xx5)`
   `A=(2^10xx3^8-2^10xx3^9)/(2^10xx3^8+2^10xx3^8xx5)`
   `A=(2^10xx(3^8-3^9))/(2^10xx3^8xx(1+5))`
   `A=(2^10xx(-13122))/(2^10xx3^8xx6)`
   `A=(2^10xx(-13122))/(2^10xx3^8xx2xx3)`
   `A=(2^10xx(-13122))/(2^11xx3^9)`
   `A=(1xx(-13122))/(2xx3^9)`
   `A=-13122/(2xx3^9)`
   `A=-1/3`

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