x^(2/5)=5x^(1/10) what is x

Answer 1

We can simplify the equation by raising both sides to the power of 10, which gives us:

x^(2/5 * 10) = 5^(10/1) * x^(1/10 * 10)

Simplifying further:

x^4 = 5^10 * x

Now, we can move all the x terms to one side and all the constants to the other side:

x^4 - 5^10 * x = 0

Factoring out x, we get:

x(x^3 - 5^10) = 0

Therefore, x = 0 or x^3 = 5^10

Taking the cube root of both sides, we get:

x = 5^(10/3)

So the solution is x = 125.89 (rounded to two decimal places).

Answer 2

213.75 to two decimal place

Answer 3

213.75 to two decimal places is 213.75.