Exercise
$\frac{1-\sqrt[6]{x}\left(\sqrt[6]{a}-\sqrt[6]{x}\right)}{\sqrt[6]{a}-\sqrt[6]{x}}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression (1-x^(1/6)(a^(1/6)-x^(1/6)))/(a^(1/6)-x^(1/6)). Simplify the product -(\sqrt{x}). Multiply -1 times -1. Multiplying polynomials \sqrt{x}. When multiplying two powers that have the same base (\sqrt[6]{x}), you can add the exponents.
Simplify the expression (1-x^(1/6)(a^(1/6)-x^(1/6)))/(a^(1/6)-x^(1/6))
Final answer to the exercise
$\frac{1-\sqrt[6]{x}\sqrt[6]{a}+\sqrt[3]{x}}{\sqrt[6]{a}-\sqrt[6]{x}}$