How do I solve ( {16n}^(4) ) {}^{ (5)/(4) } step by step? PLEASE HELP ME I BEG OF YOU!!!!

Question

How do I solve


`( {16n}^(4) ) {}^{ (5)/(4) }`
step by step? PLEASE HELP ME I BEG OF YOU!!!!

Answer 1

`Use:\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^(nm)\\\\a^n\cdot a^m=a^(n+m)\\\\\sqrt[n]{a}=a^(1)/(n)\\------------------------\\\\\left(16n^4\right)^{(5)/(4)}=16^(5)/(4)\left(n^4\right)^(5)/(4)=16^{1(1)/(4)}n^{4\cdot(5)/(4)}=16^{1+(1)/(4)}n^5=16^1\cdot16^(1)/(4)\cdot n^5\\\\=16\cdot\sqrt[4]{16}\cdot n^5=16\cdot2\cdot n^5=\boxed{32n^5}\\\\\sqrt[4]{16}=2\ because\ 2^4=16\\\\\text{Answer}\ \boxed{\left(16n^4\right)^(5)/(4)=32n^5}`