Exercise
$\left(\sqrt{x}-\:\frac{m}{x^2}\right)^{10}\:=\:405$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the rational equation (x^(1/2)+(-m)/(x^2))^10=405. Removing the variable's exponent. Cancel exponents 10 and 1. Combine all terms into a single fraction with x^2 as common denominator. When multiplying exponents with same base we can add the exponents.
Solve the rational equation (x^(1/2)+(-m)/(x^2))^10=405
Final answer to the exercise
$\frac{\sqrt{x^{5}}-m}{x^2}=\sqrt[10]{405},\:\frac{\sqrt{x^{5}}-m}{x^2}=-\sqrt[10]{405}$