Exercise
$\left(\frac{x^2}{9}-\frac{1}{x^3}\right)^4$
Step-by-step Solution
Learn how to solve problems step by step online. Expand the expression ((x^2)/9+-1/(x^3))^4. Expand the binomial \left(\frac{x^2}{9}+\frac{-1}{x^3}\right)^4. 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}. 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}. 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}.
Expand the expression ((x^2)/9+-1/(x^3))^4
Final answer to the exercise
$\frac{x^{8}}{6561}+\frac{-4x^{3}}{729}+\frac{2}{27x^{2}}+\frac{-4}{9x^{7}}+\frac{1}{x^{12}}$