Question

Please help and show work!! The answer is already there I just need work!!

Answer 1

`Use\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^(nm)\\\\a^n\cdot a^m=a^(n+m)\\--------------------\\\\(25a^2b)^3\left((1)/(5)abf\right)^2=(25^3)(a^2)^3(b^3)\left((1)/(5)\right)^2a^2b^2f^2\\\\=15625a^6b^3\left((1)/(25)\right)a^2b^2f^2=\left((15625)/(25)\right)(a^6a^2)(b^3b^2)f^2\\\\=\boxed{625a^8b^5f^2}`