\(\frac{5^3.15^7}{45^4}=\frac{5^3.\left(3.5\right)^7}{\left(5.3^2\right)^4}=\frac{5^3.3^7.5^7}{5^4.\left(3^2\right)^4}=\frac{5^{10}.3^7}{5^4.3^8}=\frac{5^6}{3}\)
\(\frac{5^3.15^7}{45^4}\)
\(=\frac{5^3.5^7.3^7}{5^4.3^8}\)
\(=\frac{5^3.5^7.3^7}{5^3.5.3^7.3}\)
\(\frac{5^2.15^7}{45^4}=\frac{5^2.\left(3.5\right)^7}{\left(3^2.5\right)^4}=\frac{5^3.3^7.5^7}{3^8.5^4}=\frac{5^{10}.3^7}{3^7.3.5^4}=\frac{5^6}{3}=\frac{15625}{3}\)