Mong mọi người giúp em với ạ a,$\frac{8^{20}+4^{20}}{4^{25}+64^{5}}$ b,$\frac{45^{10}.5^{10}}{75^{15}}$

Question

Mong mọi người giúp em với ạ
a,$\frac{8^{20}+4^{20}}{4^{25}+64^{5}}$
b,$\frac{45^{10}.5^{10}}{75^{15}}$

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Peyton 1 tuần 2021-12-07T19:41:42+00:00 2 Answers 3 views 0

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    0
    2021-12-07T19:42:55+00:00

    Giải thích các bước giải:

    `a)`
    `(8^20+4^20)/(4^25+64^5)`
    `=((2^3)^20+(2^2)^20)/((2^2)^25+(2^6)^5)`
    `=(2^(3.20)+2^(2.20))/(2^(2.25)+2^(6.5))`
    `=(2^60+2^40)/(2^50+2^30)`
    `=(2^40 .2^20+2^40 .1)/(2^30 .2^20+2^30 .1)`
    `=(2^40 .(2^20 +1))/(2^30 .(2^20+1))`
    `=2^40/2^30`
    `=2^10`
    `=1024`
    `b)`
    `(45^10 .5^20)/(75^15)`
    `=((3^2 .5)^10 .5^20)/((3.5^2)^15)`
    `=((3^2)^10 .5^10 .5^20)/(3^15 .(5^2)^15)`
    `=(3^20 .5^10 .5^20)/(3^15 .5^30)`
    `=(3^20 .5^30)/(3^15 .5^30)`
    `=(3^5 .1)/(1.1)`
    `=3^5`
    `=243`

    0
    2021-12-07T19:43:23+00:00

    @py

    Bài làm :

     

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