How do I solve this? (8/125)^(-2/3)?
回答 (9)
2018-01-10 3:44 pm
125/8 - because of the negative sign it is inverted.
5/2 - 3 as the denominator means you cube root it
25/4 - you square because of the 2 on 2/3
5/2 - 3 as the denominator means you cube root it
25/4 - you square because of the 2 on 2/3
2018-01-10 4:05 pm
(8/125)^(-2/3)
= (2³/5³)^(-2/3)
= [(2/5)³]^(-2/3)
= (2/5)^[3×(-2/3)]
= (2/5)^(-2)
= (5/2)^2
= 5²/2²
= 25/4
= (2³/5³)^(-2/3)
= [(2/5)³]^(-2/3)
= (2/5)^[3×(-2/3)]
= (2/5)^(-2)
= (5/2)^2
= 5²/2²
= 25/4
2018-01-11 12:54 am
(8/125)^(-⅔) = (2³/5³)^(-⅔)
= ((2/5)³)^(-⅔)
= (2/5)⁻²
= (5/2)²
= 25/4
= ((2/5)³)^(-⅔)
= (2/5)⁻²
= (5/2)²
= 25/4
2018-01-10 5:20 pm
(125/8)^(2/3) = (5/2)^2 = 25/4
2018-01-10 5:00 pm
(8/125)^(-2/3)
I would do the cube root part first
(2/5)^(-2)
Then squared
4/25^-1
Then invert
25/4
I would do the cube root part first
(2/5)^(-2)
Then squared
4/25^-1
Then invert
25/4
2018-01-10 11:43 pm
(8/125)^(-2/3)
= (125/8)^(2/3)
= (5/2)^2
= 25/4
= (125/8)^(2/3)
= (5/2)^2
= 25/4
2018-01-10 10:47 pm
= (8/125)^(- 2/3) → you know that: 8 = 2^(3)
= [2^(3)/125]^(- 2/3) → you know that: 125 = 5^(3)
= [2^(3)/5^(3)]^(- 2/3) → you can simplify
= [(2/5)^3]^(- 2/3) → you know that: (x^a)^(b) = x^(ab)
= (2/5)^[3 * - (2/3)] → you can simplify
= (2/5)^(- 2) → you know that: x^(- a) = 1/x^(+ a) = 1/x^(a)
= 1 / [(2/5)^(2)] → you know that: (a/b)^(x) = a^(x) / b^(x)
= 1 / [2^(2) / 5^(2)] → you can simplify
= 1 / [4/25] → you can simplify
= 25/4
= [2^(3)/125]^(- 2/3) → you know that: 125 = 5^(3)
= [2^(3)/5^(3)]^(- 2/3) → you can simplify
= [(2/5)^3]^(- 2/3) → you know that: (x^a)^(b) = x^(ab)
= (2/5)^[3 * - (2/3)] → you can simplify
= (2/5)^(- 2) → you know that: x^(- a) = 1/x^(+ a) = 1/x^(a)
= 1 / [(2/5)^(2)] → you know that: (a/b)^(x) = a^(x) / b^(x)
= 1 / [2^(2) / 5^(2)] → you can simplify
= 1 / [4/25] → you can simplify
= 25/4
2018-01-10 5:48 pm
The word "solve" is applied to equations and equations require an equals sign.
In this case "simplify" would be more appropriate.
125^(2/3)
----------------
8^(2/3)
5^2
--------
2^2
25
----- = 6 1/4
4
In this case "simplify" would be more appropriate.
125^(2/3)
----------------
8^(2/3)
5^2
--------
2^2
25
----- = 6 1/4
4
收錄日期: 2021-04-18 18:02:55
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