Exercise
$u=\sqrt[3]{t^3-\frac{1}{t^3}}$
Step-by-step Solution
Learn how to solve equations problems step by step online. Solve the rational equation u=(t^3+-1/(t^3))^(1/3). Combine all terms into a single fraction with t^3 as common denominator. When multiplying two powers that have the same base (t^3), you can add the exponents. Simplify \left(t^3\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Multiply 3 times 2.
Solve the rational equation u=(t^3+-1/(t^3))^(1/3)
Final answer to the exercise
$\frac{\sqrt[3]{t^{6}-1}}{t}$