Solve (x^5)^(3/4)=2

Evaluate

(x^{5})^{\frac{3}{4}} = 2

Find the domain

More Steps

(x^{5})^{\frac{3}{4}} = 2, x \geq 0

Simplify

More Steps

x^{\frac{15}{4}} = 2

Raise both sides of the equation to the reciprocal of the exponent

(x^{\frac{15}{4}})^{\frac{4}{15}} = 2^{\frac{4}{15}}

Evaluate the power

x = 2^{\frac{4}{15}}

Simplify

More Steps

x = 1516

Check if the solution is in the defined range

x = 1516, x \geq 0

Solution

x = 1516

Alternative Form

x \approx 1.203025

Solve the equation