Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex](25x-4)^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.