Exercise
$\sqrt[28]{\frac{x^{-4}}{x^3}}$
Step-by-step Solution
Learn how to solve factorization problems step by step online. Simplify the expression ((x^(-4))/(x^3))^(1/28). Simplify the fraction by x. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Calculate the power \sqrt{1}. Simplify \sqrt{x^{7}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals \frac{1}{28}.
Simplify the expression ((x^(-4))/(x^3))^(1/28)
Final answer to the exercise
$\frac{\sqrt[28]{1}}{\sqrt[4]{x}}$