Learn how to solve definitive integrale problems step by step online. (3^(5m))/(3^(3m))=81^(0.5m). Wenden Sie die Formel an: \frac{a^m}{a^n}=a^{\left(m-n\right)}, wobei a^n=3^{3m}, a^m=3^{5m}, a=3, a^m/a^n=\frac{3^{5m}}{3^{3m}}, m=5m und n=3m. Die Kombination gleicher Begriffe 5m und -3m. Wenden Sie die Formel an: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, wobei a=2m, b=0.5m, x=3, y=81, x^a=3^{2m}, x^a=y^b=3^{2m}=81^{0.5m} und y^b=81^{0.5m}. Simplify \left(3^{4}\right)^{0.5m} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 0.5m.

(3^(5m))/(3^(3m))=81^(0.5m)