if i have:
31x^5=1.4x10^-85
what would x equal?
divide by 31
x^5 = 4.516... x 10^-87
take 5th root
x = appr5.38 x 10^-18
I bet you mean
31 x^5 = 1.4 * 10^-85
if so then
x^5 = .04520 * 10^-85
x = 4520 * 10^-90
x = 5.38 * 10^-18
To find the value of x in the equation 31x^5 = 1.4x10^-85, we can isolate x by performing some algebraic manipulations.
First, we can divide both sides of the equation by 31 to simplify it:
x^5 = (1.4x10^-85) / 31
Next, we need to get rid of the exponent -85 in the denominator. To do this, we can rewrite it as a positive exponent:
x^5 = (1.4 / 31) x 10^(-85)
Now, we need to take the fifth root of both sides of the equation to solve for x:
∛(x^5) = ∛[(1.4 / 31) x 10^(-85)]
By applying the property that ∛(a x b) = ∛a x ∛b, we can rewrite the equation as:
x = (∛(1.4 / 31) x ∛(10^(-85)))
Now we can calculate the value of x using a calculator or computational software.
x ≈ 5.46 x 10^(-18)
Therefore, x is approximately equal to 5.46 x 10^(-18).