Exercise
$\left(-\frac{2}{5}m^6n^3-\frac{4}{3}m^2n^5\right)^2^2$
Step-by-step Solution
Learn how to solve discriminant of quadratic equation problems step by step online. Expand the expression (-2/5m^6n^3-4/3m^2n^5)^2^2. Simplify \left(\left(-\frac{2}{5}m^6n^3-\frac{4}{3}m^2n^5\right)^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Expand the binomial \left(-\frac{2}{5}m^6n^3-\frac{4}{3}m^2n^5\right)^{4}. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power.
Expand the expression (-2/5m^6n^3-4/3m^2n^5)^2^2
Final answer to the exercise
$m^{24}\left(-\frac{2}{5}n^3\right)^4-\frac{16}{3}m^{20}\left(\left(-\frac{2}{5}\right)n^3\right)^3n^5+6m^{16}\left(\left(-\frac{2}{5}\right)n^3\right)^2\left(\left(-\frac{4}{3}\right)n^5\right)^2-\frac{8}{5}m^{12}n^3\left(\left(-\frac{4}{3}\right)n^5\right)^3+m^{8}\left(-\frac{4}{3}n^5\right)^4$