Exercise
$\left(\frac{s^{-5}}{s^6}\right)^{\frac{3}{11}}$
Step-by-step Solution
Learn how to solve factorization problems step by step online. Simplify the expression ((s^(-5))/(s^6))^(3/11). Simplify the fraction by s. 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{\left(1\right)^{3}}. Simplify \sqrt{\left(s^{11}\right)^{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 11 and n equals \frac{3}{11}.
Simplify the expression ((s^(-5))/(s^6))^(3/11)
Final answer to the exercise
$\frac{\sqrt[11]{\left(1\right)^{3}}}{s^{3}}$