a,25^3: 5^2 b,(3/7)^21: (9/49)^6 c, 3-(-6/7)^0 +(1/2)^2 :2

a,25^3: 5^2 b,(3/7)^21: (9/49)^6 c, 3-(-6/7)^0 +(1/2)^2 :2

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  1. `\text{a)}`

    `25^3 : 5^2`

    `= (5^2)^3 : 5^2`

    `= 5^6 : 5^2`

    `= 5^4`

    `\text{b)}`

    `(3/7)^21 : (9/49)^6`

    `= (3/7)^21 : [(3/7)^2]^6`

    `= (3/7)^21 : (3/7)^12`

    `= (3/7)^9`

    `\text{c)}`

    `3 – (-6/7)^0 + (1/2)^2 :2`

    `= 3 – 1 + 1/4 :2`

    `= 2 + 1/8`

    `=17/8` 

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  2. Đáp án:

    `a,`

    `25^3 ÷ 5^2`

    `= (5^2)^3 ÷ 5^2`

    `= 5^6 ÷ 5^2`

    `= 5^4`

    $\\$

    `b,`

    `(3/7)^{21} ÷ (9/49)^6`

    `= (3/7)^{21} ÷ [(3/7)^2]^6`

    `= (3/7)^{21} ÷ (3/7)^{12}`

    `= (3/7)^{9}`

    $\\$

    `c,`

    `3 – (-6/7)^0 + (1/2)^2 ÷ 2`

    `3 – 1 + 1/4 × 1/2`

    `= 3 – 1 + 1/8`

    `= 2 + 1/8`

    `= 16/8 + 1/8`

    `= 17/8`

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