can someone solve this equation please show work?
回答 (8)
2008-06-24 3:25 pm
✔ 最佳答案
x^3/2 = 125x^3/2 * 2/3 = 125^ 2/3
x = 25
Here's Why
In exponents if you have a fraction, such as 3/2, you do take the number and can convert it into a radical. The denominator is the index, and the numerator is the exponent inside the radical. So for x^3/2 in radical form, it would be the square root of 3. For x^4/3 in radical form, it would be the cubic root of x^4
2008-06-24 10:25 pm
x3/2 = 125 => pow(square(x),3) = pow(5,3) => square(x) = 5 =>x=25 unique solution.
2008-06-24 10:54 pm
x^3/2 = 125
x^3 = 2(125)
x^2 = 250
x = 屉250
x = ±15.81 (approx.)
x^3 = 2(125)
x^2 = 250
x = 屉250
x = ±15.81 (approx.)
參考: Square Root Calculator
http://www.math.com/students/calculators/source/square-root.htm
2008-06-24 10:35 pm
do you mean 3x/2=125? if so, multiply both sides by 2. then you have 3x=250. then divide both sides by 3. you'll have x=83.33. hope this helps.
2008-06-24 10:25 pm
x3/2 = 125
i no really know what is your question. so i assumed that the question is x^3/2 = 125
x^3 = 250
x = 6.30
i no really know what is your question. so i assumed that the question is x^3/2 = 125
x^3 = 250
x = 6.30
2008-06-24 10:25 pm
is that :
x^(3/2) = 125
If so, you want to take both sides to the same power such that you end up with x^1 at the end.
The rule here is:
(a^x)^y = a^(xy)
So if you take both sides to the (2/3) power, you'll end up with x^1, and can solve:
(x^(3/2))^(2/3) = 125^(2/3)
x^((3/2)(2/3)) = ³â(125²)
x = ³â(15625)
x = 25
x^(3/2) = 125
If so, you want to take both sides to the same power such that you end up with x^1 at the end.
The rule here is:
(a^x)^y = a^(xy)
So if you take both sides to the (2/3) power, you'll end up with x^1, and can solve:
(x^(3/2))^(2/3) = 125^(2/3)
x^((3/2)(2/3)) = ³â(125²)
x = ³â(15625)
x = 25
2008-06-24 10:24 pm
Is this x^(3/2) = 125?
Then (x^(3/2))^(2/3) = 125^(2/3)
x = (125^(1/3))^2 = 5^2=25
Then (x^(3/2))^(2/3) = 125^(2/3)
x = (125^(1/3))^2 = 5^2=25
2008-06-24 10:24 pm
I assume you mean x^(3/2) = 125
read as x raised to the power (3/2) is equal to 125
=> x = (125)^(2/3) = 25
read as x raised to the power (3/2) is equal to 125
=> x = (125)^(2/3) = 25
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